{"id":36748,"date":"2022-04-04T17:24:32","date_gmt":"2022-04-04T11:54:32","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=36748"},"modified":"2022-04-07T11:44:51","modified_gmt":"2022-04-07T06:14:51","slug":"big-ideas-math-algebra-1-answers-chapter-4","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers-chapter-4\/","title":{"rendered":"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions"},"content":{"rendered":"<p>Need instant homework help or assignment help while solving the Algebra 1 Questions? Then, <strong>Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions<\/strong> guide is the perfect one to overcome your hurdles. Based on the common core standards, our subject experts prepared this BIM Math Algebra 1 Solution key for Chapter 4 Writing Linear Functions. You can observe step-by-step explanations for all questions covered on Ch 5 <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers\/\">Big Ideas Math Algebra 1 Answers<\/a> Pdf. With the help of BIM Algebra 1 Ch 5 Writing Linear Functions Solutions pdf, students can easily understand the concepts &amp; learn efficiently for their examinations.<\/p>\n<h2 class=\"entry-title\">Big Ideas Math Book Algebra 1 Solutions for Chapter 4 Writing Linear Functions<\/h2>\n<p>Utilize the Big Ideas Math Algebra 1 Textbook Solutions for Ch 4 Writing Linear Functions concepts and practice to the next level. Students can attempt any type of questions asked from chapter 4 in the examination after practicing the questions covered in the <strong>Big Ideas Math Algebra 1 Chapter 4 Writing Linear Functions Answer Key.<\/strong> Access the links provided below and solve the respective exercise of Ch 4 Algebra 1 BIM Textbook Solutions. Also, you can test your knowledge of the 4th chapter writing linear functions topics by referring to this ultimate Big Ideas Math Algebra 1 Chapter 4 Writing Linear Functions Answers Guide.<\/p>\n<ul>\n<li><a href=\"#Writing_Linear_Functions_Maintaining_Mathematical_Proficiency\">Writing Linear Functions Maintaining Mathematical Proficiency &#8211; Page 173<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_Mathematical_Practices\">Writing Linear Functions Mathematical Practices &#8211; Page 174<\/a><\/li>\n<li><a href=\"#Lesson_4.1_Writing_Equations_in_Slope-Intercept_Form\">Lesson 4.1 Writing Equations in Slope-Intercept Form &#8211; Page(175-180)<\/a><\/li>\n<li><a href=\"#Writing_Equations_in_Slope-Intercept_Form_4.1_Exercises\">Writing Equations in Slope-Intercept Form 4.1 Exercises &#8211; Page(179-180)<\/a><\/li>\n<li><a href=\"#Lesson_4.2_Writing_Equations_in_Point-Slope_Form\">Lesson 4.2 Writing Equations in Point-Slope Form &#8211; Page(181-186)<\/a><\/li>\n<li><a href=\"#Writing_Equations_in_Point-Slope_Form_4.2_Exercises\">Writing Equations in Point-Slope Form 4.2 Exercises -Page(185-186)<\/a><\/li>\n<li><a href=\"#Lesson_4.3_Writing_Equations_of_Parallel_and_Perpendicular_Lines\">Lesson 4.3 Writing Equations of Parallel and Perpendicular Lines -Page(187-192)<\/a><\/li>\n<li><a href=\"#Writing_Equations_of_Parallel_and_Perpendicular_Lines_4.3_Exercises\">Writing Equations of Parallel and Perpendicular Lines 4.3 Exercises &#8211; Page(191-192)<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_Study_Skills:_Getting_Actively_Involved_in_Class\">Writing Linear Functions Study Skills: Getting Actively Involved in Class &#8211; Page 193<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_4.1_-_4.3\">Writing Linear Functions 4.1 &#8211; 4.3 &#8211; Page 194<\/a><\/li>\n<li><a href=\"#Lesson_4.4_Scatter_Plots_and_Lines_of_Fit\">Lesson 4.4 Scatter Plots and Lines of Fit &#8211; Page &#8211; Page(195-200)<\/a><\/li>\n<li><a href=\"#Scatter_Plots_and_Lines_of_Fit_4.4_Exercises\">Scatter Plots and Lines of Fit 4.4 Exercises &#8211; Page(199-200)<\/a><\/li>\n<li><a href=\"#Lesson_4.5_Analyzing_Lines_of_Fit\">Lesson 4.5 Analyzing Lines of Fit &#8211; Page(201-208)<\/a><\/li>\n<li><a href=\"#Analyzing_Lines_of_Fit_4.5_Exercises\">Analyzing Lines of Fit 4.5 Exercises &#8211; <\/a><a href=\"#Lesson_4.5_Analyzing_Lines_of_Fit\">Page(206-208)<\/a><\/li>\n<li><a href=\"#Lesson_4.6_Arithmetic_Sequences\">Lesson 4.6 Arithmetic Sequences &#8211; Page(209-216)<\/a><\/li>\n<li><a href=\"#Arithmetic_Sequences_4.6_Exercises\">Arithmetic Sequences 4.6 Exercises &#8211; Page(214-216)<\/a><\/li>\n<li><a href=\"#Lesson_4.7_Piecewise_Functions\">Lesson 4.7 Piecewise Functions -Page(217-224)<\/a><\/li>\n<li><a href=\"#Piecewise_Functions_4.7_Exercises\">Piecewise Functions 4.7 Exercises &#8211; Page(222-224)<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_Performance_Task:_Any_Beginning\">Writing Linear Functions Performance Task: Any Beginning &#8211; Page 225<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_Chapter_Review\">Writing Linear Functions Chapter Review &#8211; Page(226-228)<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_Chapter_Test\">Writing Linear Functions Chapter Test &#8211; Page 229<\/a><\/li>\n<li><a href=\"#Writing_Linear_Functions_Cumulative_Assessment\">Writing Linear Functions Cumulative Assessment &#8211; Page(230-231)<\/a><\/li>\n<\/ul>\n<h3><a id=\"Writing_Linear_Functions_Maintaining_Mathematical_Proficiency\"><\/a>Writing Linear Functions Maintaining Mathematical Proficiency<\/h3>\n<p><b>Use the graph to answer the question.<\/b><\/p>\n<p>Question 1.<br \/>\nWhat ordered pair corresponds to point G?<\/p>\n<p>Question 2.<br \/>\nWhat ordered pair corresponds to point D?<\/p>\n<p>question 3.<br \/>\nWhich point is located in Quadrant I?<\/p>\n<p>Question 4.<br \/>\nWhich point is located in Quadrant IV?<\/p>\n<p>Solve the equation for y.<\/p>\n<p>Question 5.<br \/>\nx &#8211; y = 5<\/p>\n<p>Question 6.<br \/>\n6x + 3y = -1<\/p>\n<p>Question 7.<br \/>\n0 = 2y &#8211; 8x + 10<\/p>\n<p>Question 8.<br \/>\n-x + 4y &#8211; 28 = 0<\/p>\n<p>Question 9.<br \/>\n2y + 1 &#8211; x = 7x<\/p>\n<p>Question 10.<br \/>\ny &#8211; 4 = 3x + 5y<\/p>\n<p>Question 11.<br \/>\n<b>ABSTRACT REASONING<\/b><br \/>\nBoth coordinates of the point (x, y) are multiplied by a negative number. How does this change the location of the point? Be sure to consider points originally located in all four quadrants.<\/p>\n<h3><a id=\"Writing_Linear_Functions_Mathematical_Practices\"><\/a>Writing Linear Functions Mathematical Practices<\/h3>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 1.<br \/>\nYou work 37\\(\\frac{1}{2}\\) hours and earn $352.50. What is your hourly wage?<\/p>\n<p>Question 2.<br \/>\nYou drive 1244.5 miles and use 47.5 gallons of gasoline. What is your car\u2019s gas mileage (in miles per gallon)?<\/p>\n<p>Question 3.<br \/>\nYou drive 236 miles in 4.6 hours. At the same rate, how long will it take you to drive 450 miles?<\/p>\n<h3><a id=\"Lesson_4.1_Writing_Equations_in_Slope-Intercept_Form\"><\/a>Lesson 4.1 Writing Equations in Slope-Intercept Form<\/h3>\n<p><b>Essential Question<\/b><\/p>\n<p>Given the graph of a linear function, how can you write an equation of the line?<\/p>\n<p><b>EXPLORATION 1<br \/>\nWriting Equations in Slope-Intercept Form<br \/>\nWork with a partner.<\/b><\/p>\n<ul>\n<li>Find the slope and y-intercept of each line.<\/li>\n<li>Write an equation of each line in slope-intercept form.<\/li>\n<li>Use a graphing calculator to verify your equation.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37207\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 1\" width=\"489\" height=\"308\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-1.png 489w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-1-300x189.png 300w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><\/p>\n<p><b>EXPLORATION 2<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37208\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 2\" width=\"231\" height=\"270\" \/><br \/>\n<b>Mathematical Modeling<br \/>\n<\/b><b style=\"font-style: inherit;\">Work with a partner. <\/b><span style=\"font-size: 16px;\">The graph shows the cost of a smartphone plan.<br \/>\n<\/span><span style=\"font-size: 16px;\">a. What is the y-intercept of the line? Interpret the y-intercept in the context of the problem.<br \/>\n<\/span><span style=\"font-size: 16px;\">b. Approximate the slope of the line. Interpret the slope in the context of the problem.<br \/>\n<\/span><span style=\"font-size: 16px;\">c. Write an equation that represents the cost as a function of data usage.<br \/>\n<\/span><img loading=\"lazy\" class=\"alignnone size-full wp-image-37209\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 3\" width=\"278\" height=\"180\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 3.<br \/>\nGiven the graph of a linear function, how can you write an equation of the line?<\/p>\n<p>Question 4.<br \/>\nGive an example of a graph of a linear function that is different from those above. Then use the graph to write an equation of the line.<\/p>\n<p><b>4.1 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p><b>Write an equation of the line with the given slope and y-intercept.<\/b><\/p>\n<p>Question 1.<br \/>\nslope = 7; y-intercept = 2<\/p>\n<p>Question 2.<br \/>\nslope = \\(\\frac{1}{3}\\) ; y-intercept = -1<\/p>\n<p><b>Write an equation of the line in slope-intercept form.<\/b><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37253\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-4.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 4\" width=\"165\" height=\"155\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37254\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-5.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 5\" width=\"167\" height=\"159\" \/><\/p>\n<p>Question 5.<br \/>\nWrite an equation of the line that passes through (0, -2) and (4, 10).<\/p>\n<p>Question 6.<br \/>\nWrite a linear function g with the values g(0) = 9 and g(8) = 7.<\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 7.<br \/>\nThe corresponding data for electricity generated by hydropower are 248 million megawatt hours in 2007 and 277 million megawatt hours in 2012. Write a linear model that represents the number of megawatt hours generated by hydropower as a function of the number of years since 2007.<\/p>\n<h3><a id=\"Writing_Equations_in_Slope-Intercept_Form_4.1_Exercises\"><\/a>Writing Equations in Slope-Intercept Form 4.1 Exercises<\/h3>\n<p>Question 1.<br \/>\n<b>COMPLETE THE SENTENCE<\/b><br \/>\nA linear function that models a real-life situation is called a __________.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41738\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 1\" width=\"552\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-1.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-1-300x34.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>WRITING<\/b><br \/>\nExplain how you can use slope-intercept form to write an equation of a line given its slope and y-intercept.<br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20138, write an equation of the line with the given slope and y-intercept.<\/b><\/p>\n<p>Question 3.<br \/>\nslope: 2<br \/>\ny-intercept: 9<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 3\" width=\"262\" height=\"100\" \/><\/p>\n<p>Question 4.<br \/>\nslope: 0<br \/>\ny-intercept: 5<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nslope: -3<br \/>\ny-intercept: 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41740\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 5\" width=\"236\" height=\"133\" \/><\/p>\n<p>Question 6.<br \/>\nslope: -7<br \/>\ny-intercept: 1<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nslope: \\(\\frac{2}{3}\\)<br \/>\ny-intercept: -8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41742\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 7\" width=\"264\" height=\"192\" \/><\/p>\n<p>Question 8.<br \/>\nslope: &#8211;\\(\\frac{3}{4}\\)<br \/>\ny-intercept: -6<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 9\u201312, write an equation of the line in slope-intercept form.<\/b><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37255\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-6.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 6\" width=\"155\" height=\"158\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41743\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 9\" width=\"540\" height=\"204\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-9.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-9-300x113.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37256\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-7.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 7\" width=\"157\" height=\"157\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-7.png 157w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-7-150x150.png 150w\" sizes=\"(max-width: 157px) 100vw, 157px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37257\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-8.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 8\" width=\"156\" height=\"138\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 11\" width=\"542\" height=\"206\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-11.png 542w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-11-300x114.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37258\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-9.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 9\" width=\"158\" height=\"138\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 13\u201318, write an equation of the line that passes through the given points.<\/b><\/p>\n<p>Question 13.<br \/>\n(3, 1), (0, 10)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 13\" width=\"577\" height=\"154\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-13.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-13-300x80.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 14.<br \/>\n(2, 7), (0, -5)<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n(2, -4), (0, -4)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41746\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 15\" width=\"586\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-15.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-15-300x81.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Question 16.<br \/>\n(-6, 0), (0, -24)<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n(0, 5), (-1.5, 1)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41747\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 17\" width=\"541\" height=\"182\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-17.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-17-300x101.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 18.<br \/>\n(0, 3), (-5, 2.5)<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 19\u201324, write a linear function f with the given values.<\/b><\/p>\n<p>Question 19.<br \/>\nf(0) = 2, f(2) = 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41748\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 19\" width=\"577\" height=\"317\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-19.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-19-300x165.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 20.<br \/>\nf(0) = 7, f(3) = 1<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\nf(4) = -3, f(0) = -2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41749\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 21\" width=\"592\" height=\"326\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-21.png 592w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-21-300x165.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Question 22.<br \/>\nf(5) = -1, f(0) = -5<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nf(-2) = 6, f(0) = -4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 23\" width=\"599\" height=\"291\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-23.png 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-23-300x146.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/p>\n<p>Question 24.<br \/>\nf(0) = 3, f(-6) = 3<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 25 and 26, write a linear function f with the given values.<\/b><\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37259\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-10.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 10\" width=\"131\" height=\"110\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41751\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 25\" width=\"554\" height=\"231\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-25.png 554w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-25-300x125.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37260\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-11.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 11\" width=\"102\" height=\"115\" \/><br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing an equation of the line with a slope of 2 and a y-intercept of 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37261\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-12.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 12\" width=\"210\" height=\"70\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41752\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-27.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 27\" width=\"560\" height=\"165\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-27.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-27-300x88.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 28.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing an equation of the line shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37262\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-13.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 13\" width=\"353\" height=\"162\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-13.png 353w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-13-300x138.png 300w\" sizes=\"(max-width: 353px) 100vw, 353px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nIn 1960, the world record for the men\u2019s mile was 3.91 minutes. In 1980, the record time was 3.81 minutes.<br \/>\na. Write a linear model that represents the world record (in minutes) for the men\u2019s mile as a function of the number of years since 1960.<br \/>\nb. Use the model to estimate the record time in 2000 and predict the record time in 2020.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41753\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-29.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 29\" width=\"575\" height=\"585\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-29.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-29-295x300.png 295w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 30.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nA recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour.<br \/>\na. Write a linear model that represents the total cost of recording an album as a function of studio time (in hours).<br \/>\nb. Is it less expensive to purchase 12 hours of recording time at the studio or a $750 music software program that you can use to record on your own computer? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37263\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-14.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 14\" width=\"165\" height=\"140\" \/><br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<b>WRITING<\/b><br \/>\nA line passes through the points (0, -2) and (0, 5). Is it possible to write an equation of the line in slope-intercept form? Justify your answer.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41755\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-31.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 31\" width=\"575\" height=\"183\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-31.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-31-300x95.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 32.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nDescribe a real-life situation involving a linear function whose graph passes through the points.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37264\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-15.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 15\" width=\"137\" height=\"163\" \/><br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<b>REASONING<\/b><br \/>\nRecall that the standard form of a linear equation is Ax + By = C. Rewrite this equation in slope-intercept form. Use your answer to find the slope and y-intercept of the graph of the equation -6x + 5y = 9.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41756\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 33\" width=\"542\" height=\"361\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-33.png 542w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-33-300x200.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 34.<br \/>\n<b>MAKING AN ARGUMENT<\/b><br \/>\nYour friend claims that given f(0) and any other value of a linear function f, you can write an equation in slope-intercept form that represents the function. Your cousin disagrees, claiming that the two points could lie on a vertical line. Who is correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<b>ANALYZING A GRAPH<\/b><br \/>\nLine \u2113 is a reflection in the x-axis of line k. Write an equation that represents line k.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37265\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-16.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 16\" width=\"156\" height=\"160\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41757\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-35.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 35\" width=\"602\" height=\"239\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-35.png 602w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-35-300x119.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p>Question 36.<br \/>\n<b>HOW DO YOU SEE IT?<\/b><br \/>\nThe graph shows the approximate U.S. box office revenues (in billions of dollars) from 2000 to 2012, where x = 0 represents the year 2000.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37266\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-17.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 17\" width=\"212\" height=\"187\" \/><br \/>\na. Estimate the slope and y-intercept of the graph.<br \/>\nb. Interpret your answers in part (a) in the context of the problem.<br \/>\nc. How can you use your answers in part (a) to predict the U.S. box office revenue in 2018?<br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\n<b>ABSTRACT REASONING<\/b><br \/>\nShow that the equation of the line that passes through the points (0, b) and (1, b + m) is y = mx + b. Explain how you can be sure that the point (-1, b &#8211; m) also lies on the line.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41758\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-37.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 37\" width=\"598\" height=\"445\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-37.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-37-300x223.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Solve the equation. <\/b>(Section 1.3)<\/p>\n<p>Question 38.<br \/>\n3(x &#8211; 15) = x + 11<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n-4y &#8211; 10 = 4(y &#8211; 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-39.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 39\" width=\"243\" height=\"408\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-39.png 243w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-39-179x300.png 179w\" sizes=\"(max-width: 243px) 100vw, 243px\" \/><\/p>\n<p>Question 40.<br \/>\n2(3d + 3) = 7 + 6d<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\n-5(4 &#8211; 3n) = 10(n &#8211; 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41760\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-41.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 41\" width=\"322\" height=\"369\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-41.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-41-262x300.png 262w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/p>\n<p><b>Use intercepts to graph the linear equation. <\/b>(Section 3.4)<\/p>\n<p>Question 42.<br \/>\n-4x + 2y = 16<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\n3x + 5y = -15<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41761\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-43.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 43\" width=\"535\" height=\"548\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-43.png 535w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-43-293x300.png 293w\" sizes=\"(max-width: 535px) 100vw, 535px\" \/><\/p>\n<p>Question 44.<br \/>\nx &#8211; 6y = 24<br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\n-7x &#8211; 2y = -21<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41763\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-45.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.1 Question 45\" width=\"543\" height=\"606\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-45.png 543w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.1-Question-45-269x300.png 269w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><\/p>\n<h3><a id=\"Lesson_4.2_Writing_Equations_in_Point-Slope_Form\"><\/a>Lesson 4.2 Writing Equations in Point-Slope Form<\/h3>\n<p><b>Essential Question<\/b><br \/>\nHow can you write an equation of a line when you are given the slope and a point on the line?<\/p>\n<p><b>EXPLORATION 1<\/b><br \/>\n<b>Writing Equations of Lines<br \/>\nWork with a partner.<\/b><\/p>\n<ul>\n<li>Sketch the line that has the given slope and passes through the given point.<\/li>\n<li>Find the y-intercept of the line.<\/li>\n<li>Write an equation of the line.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37267\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-18.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 18\" width=\"471\" height=\"221\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-18.png 471w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-18-300x141.png 300w\" sizes=\"(max-width: 471px) 100vw, 471px\" \/><\/p>\n<p><b>EXPLORATION 2<br \/>\nWriting a Formula<br \/>\nWork with a partner.<\/b><br \/>\nThe point (x<sub>1<\/sub>, y<sub>1<\/sub>) is a given point on a nonvertical line. The point (x, y) is any other point on the line. Write an equation that represents the slope m of the line. Then rewrite this equation by multiplying each side by the difference of the x-coordinates to obtain the point-slope form of a linear equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37268\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-19.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 19\" width=\"195\" height=\"167\" \/><\/p>\n<p><b>EXPLORATION 3<br \/>\nWriting an Equation<br \/>\nWork with a partner.<\/b><br \/>\nFor four months, you have saved $25 per month. You now have $175 in your savings account.<br \/>\na. Use your result from Exploration 2 to write an equation that represents the balance A after t months.<br \/>\nb. Use a graphing calculator to verify your equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37269\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-20.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 20\" width=\"224\" height=\"316\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-20.png 224w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-20-213x300.png 213w\" sizes=\"(max-width: 224px) 100vw, 224px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37270\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-21.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 21\" width=\"239\" height=\"194\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 4.<br \/>\nHow can you write an equation of a line when you are given the slope and a point on the line?<\/p>\n<p>Question 5.<br \/>\nGive an example of how to write an equation of a line when you are given the slope and a point on the line. Your example should be different from those above.<\/p>\n<p><b>4.2 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p><b>Write an equation in point-slope form of the line that passes through the given point and has the given slope.<\/b><\/p>\n<p>Question 1.<br \/>\n(3, -1); m = -2<\/p>\n<p>Question 2.<br \/>\n(4, 0); m = &#8211; \\(\\frac{2}{3}\\)<\/p>\n<p><b>Write an equation in slope-intercept form of the line that passes through the given points.<\/b><\/p>\n<p>Question 3.<br \/>\n(1, 4), (3, 10)<\/p>\n<p>Question 4.<br \/>\n(-4, -1), (8, -4)<\/p>\n<p>Question 5.<br \/>\nWrite a linear function g with the values g(2) = 3 and g(6) = 5.<\/p>\n<p>Question 6.<br \/>\nYou pay an installation fee and a monthly fee for Internet service. The table shows the total cost for different numbers of months. Can the situation be modeled by a linear equation? Explain. If possible, write a linear model that represents the total cost as a function of the number of months.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37271\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-22.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 22\" width=\"186\" height=\"152\" \/><\/p>\n<h3><a id=\"Writing_Equations_in_Point-Slope_Form_4.2_Exercises\"><\/a>Writing Equations in Point-Slope Form 4.2 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>USING STRUCTURE<\/b><br \/>\nWithout simplifying, identify the slope of the line given by the equation y &#8211; 5 = -2(x + 5). Then identify one point on the line.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41764\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 1\" width=\"556\" height=\"134\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-1.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-1-300x72.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>WRITING<\/b><br \/>\nExplain how you can use the slope formula to write an equation of the line that passes through (3, -2) and has a slope of 4.<br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u221210, write an equation in point-slope form of the line that passes through the given point and has the given slope.<\/b><\/p>\n<p>Question 3.<br \/>\n(2, 1); m = 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41765\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 3\" width=\"318\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-3.png 318w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-3-300x92.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><\/p>\n<p>Question 4.<br \/>\n(3, 5); m = -1<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n(7, -4); m = -6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41766\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 5\" width=\"341\" height=\"141\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-5.png 341w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-5-300x124.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><\/p>\n<p>Question 6.<br \/>\n(-8, -2); m = 5<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n(9, 0); m = -3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 7\" width=\"299\" height=\"138\" \/><\/p>\n<p>Question 8.<br \/>\n(0, 2); m = 4<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n(-6, 6); m &#8211; \\(\\frac{3}{2}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41768\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 9\" width=\"331\" height=\"182\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-9.png 331w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-9-300x165.png 300w\" sizes=\"(max-width: 331px) 100vw, 331px\" \/><\/p>\n<p>Question 10.<br \/>\n(5, -12); m = &#8211;\\(\\frac{2}{5}\\)<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 11\u221214, write an equation in slope-intercept form of the line shown.<\/b><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37272\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-23.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 23\" width=\"131\" height=\"133\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41769\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 11\" width=\"335\" height=\"305\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-11.png 335w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-11-300x273.png 300w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37273\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-24.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 24\" width=\"140\" height=\"131\" \/><br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37274\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-25.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 25\" width=\"133\" height=\"132\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41770\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 13\" width=\"413\" height=\"453\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-13.png 413w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-13-274x300.png 274w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37275\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-26.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 26\" width=\"137\" height=\"131\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 15\u221220, write an equation in slope-intercept form of the line that passes through the given points.<\/b><\/p>\n<p>Question 15.<br \/>\n(7, 2), (2, 12)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41771\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 15\" width=\"308\" height=\"297\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-15.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-15-300x289.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/p>\n<p>Question 16.<br \/>\n(6, -2), (12, 1)<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n(6, -1), (3, -7)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41772\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 17\" width=\"380\" height=\"341\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-17.png 380w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-17-300x269.png 300w\" sizes=\"(max-width: 380px) 100vw, 380px\" \/><\/p>\n<p>Question 18.<br \/>\n(-2, 5), (-4, -5)<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n(1, -9), (-3, -9)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41774\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 19\" width=\"396\" height=\"264\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-19.png 396w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-19-300x200.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/p>\n<p>Question 20.<br \/>\n(-5, 19), (5, 13)<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 21\u221226, write a linear function f with the given values.<\/b><\/p>\n<p>Question 21.<br \/>\nf(2) = -2, f(1) = 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41775\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 21\" width=\"490\" height=\"341\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-21.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-21-300x209.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><\/p>\n<p>Question 22.<br \/>\nf(5) = 7, f(-2) = 0<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nf(-4) = 2, f(6) = -3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41776\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 23\" width=\"533\" height=\"440\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-23.png 533w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-23-300x248.png 300w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><\/p>\n<p>Question 24.<br \/>\nf(-10) = 4, f(-2) = 4<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\nf(-3) = 1, f(13) = 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41777\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 25\" width=\"517\" height=\"452\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-25.png 517w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-25-300x262.png 300w\" sizes=\"(max-width: 517px) 100vw, 517px\" \/><\/p>\n<p>Question 26.<br \/>\nf(-9) = 10, f(-1) = -2<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 27\u221230, tell whether the data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represents y as a function of x.<\/b><\/p>\n<p>Question 27.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37276\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-27.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 27\" width=\"233\" height=\"67\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41778\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-27.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 27\" width=\"559\" height=\"230\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-27.png 559w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-27-300x123.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37277\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-28.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 28\" width=\"235\" height=\"72\" \/><br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37278\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-29.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 29\" width=\"109\" height=\"136\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41779\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-29.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 29\" width=\"525\" height=\"415\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-29.png 525w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-29-300x237.png 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/p>\n<p>Question 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37279\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-30.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 30\" width=\"113\" height=\"137\" \/><br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing a linear function g with the values g(5) = 4 and g(3) = 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37280\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-31.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 31\" width=\"328\" height=\"155\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-31.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-31-300x142.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41780\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-31.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 31\" width=\"591\" height=\"366\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-31.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-31-300x186.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 32.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing an equation of the line that passes through the points (1, 2) and (4, 3).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37281\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-32.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 32\" width=\"322\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-32.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-32-300x75.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nYou are designing a sticker to advertise your band. A company charges $225 for the first 1000 stickers and $80 for each additional 1000 stickers.<br \/>\na. Write an equation that represents the total cost (in dollars) of the stickers as a function of the number (in thousands) of stickers ordered.<br \/>\nb. Find the total cost of 9000 stickers.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41781\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 33\" width=\"608\" height=\"563\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-33.png 608w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-33-300x278.png 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/p>\n<p>Question 34.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nYou pay a processing fee and a daily fee to rent a beach house. The table shows the total cost of renting the beach house for different numbers of days.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37282\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-33.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 33\" width=\"307\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-33.png 307w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-33-300x73.png 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" \/><br \/>\na. Can the situation be modeled by a linear equation? Explain.<br \/>\nb. What is the processing fee? the daily fee?<br \/>\nc. You can spend no more than $1200 on the beach house rental. What is the maximum number of days you can rent the beach house?<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<b>WRITING<\/b><br \/>\nDescribe two ways to graph the equation y &#8211; 1 = \\(\\frac{3}{2}\\)(x &#8211; 4).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41782\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-35.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 35.1\" width=\"710\" height=\"287\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-35.1.png 710w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-35.1-300x121.png 300w\" sizes=\"(max-width: 710px) 100vw, 710px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41783\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-35.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 35.2\" width=\"659\" height=\"430\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-35.2.png 659w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-35.2-300x196.png 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><\/p>\n<p>Question 36.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nThe graph of a linear function passes through the point (12, -5) and has a slope of \\(\\frac{2}{5}\\). Represent this function in two other ways.<br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\n<b>REASONING<\/b><br \/>\nYou are writing an equation of the line that passes through two points that are not on the y-axis. Would you use slope-intercept form or point-slope form to write the equation? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41784\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-37.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 37\" width=\"589\" height=\"195\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-37.png 589w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-37-300x99.png 300w\" sizes=\"(max-width: 589px) 100vw, 589px\" \/><\/p>\n<p>Question 38.<br \/>\n<b>HOW DO YOU SEE IT?<\/b> The graph shows two points that lie on the graph of a linear function.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37283\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-34.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 34\" width=\"218\" height=\"158\" \/><br \/>\na. Does the y-intercept of the graph of the linear function appear to be positive or negative? Explain.<br \/>\nb. Estimate the coordinates of the two points. How can you use your estimates to confirm your answer in part (a)?<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n<b>CONNECTION TO TRANSFORMATIONS<\/b><br \/>\nCompare the graph of y = 2x to the graph of y &#8211; 1 = 2(x + 3). Make a conjecture about the graphs of y = mx and y &#8211; k = m(x &#8211; h).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41785\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-39.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 39\" width=\"572\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-39.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-39-300x61.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 40.<br \/>\n<b>COMPARING FUNCTIONS<\/b><br \/>\nThree siblings each receive money for a holiday and then spend it at a constant weekly rate. The graph describes Sibling A\u2019s spending, the table describes Sibling B\u2019s spending, and the equation y = -22.5x + 90 describes Sibling C\u2019s spending. The variable y represents the amount of money left after x weeks.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37284\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-35.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 4 Writing Linear Functions 35\" width=\"333\" height=\"173\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-35.png 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-4-Writing-Linear-Functions-35-300x156.png 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><br \/>\na. Which sibling received the most money? the least money?<br \/>\nb. Which sibling spends money at the fastest rate? the slowest rate?<br \/>\nc. Which sibling runs out of money first? last?<br \/>\nAnswer:<\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Write the reciprocal of the number.<\/b><\/p>\n<p>Question 41.<br \/>\n5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41786\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-41.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 41\" width=\"234\" height=\"57\" \/><\/p>\n<p>Question 42.<br \/>\n-8<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\n&#8211;\\(\\frac{2}{7}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41787\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.2-Question-43.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.2 Question 43\" width=\"273\" height=\"58\" \/><\/p>\n<p>Question 44.<br \/>\n\\(\\frac{3}{2}\\)<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_4.3_Writing_Equations_of_Parallel_and_Perpendicular_Lines\"><\/a>Lesson 4.3 Writing Equations of Parallel and Perpendicular Lines<\/h3>\n<p><b>Essential Equation<br \/>\nHow can you recognize lines that are parallel or perpendicular?<\/b><\/p>\n<p><b>EXPLORATION 1<br \/>\nRecognizing Parallel Lines<br \/>\nWork with a partner. <\/b>Write each linear equation in slope-intercept form. Then use a graphing calculator to graph the three equations in the same square viewing window. (The graph of the first equation is shown.) Which two lines appear parallel? How can you tell?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37212\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-36.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 36\" width=\"716\" height=\"386\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-36.png 716w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-36-300x162.png 300w\" sizes=\"(max-width: 716px) 100vw, 716px\" \/><\/p>\n<p><b>EXPLORATION 2<br \/>\nRecognizing Perpendicular Lines<br \/>\nWork with a partner. <\/b>Write each linear equation in slope-intercept form. Then use a graphing calculator to graph the three equations in the same square viewing window. (The graph of the first equation is shown.) Which two lines appear perpendicular? How can you tell?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37213\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-37.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 37\" width=\"489\" height=\"221\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-37.png 489w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-37-300x136.png 300w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 3.<br \/>\nHow can you recognize lines that are parallel or perpendicular?<\/p>\n<p>Question 4.<br \/>\nCompare the slopes of the lines in Exploration 1. How can you use slope to determine whether two lines are parallel? Explain your reasoning.<\/p>\n<p>Question 5.<br \/>\nCompare the slopes of the lines in Exploration 2. How can you use slope to determine whether two lines are perpendicular? Explain your reasoning.<\/p>\n<p><b>4.3 Lesson<\/b><\/p>\n<p>Question 1.<br \/>\nLine a passes through (-5, 3) and (-6, -1). Line b passes through (3, -2) and (2, -7). Are the lines parallel? Explain.<\/p>\n<p>Question 2.<br \/>\nWrite an equation of the line that passes through (-4, 2) and is parallel to the line y = \\(\\frac{1}{4}\\)x + 1<\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 3.<br \/>\nDetermine which of the lines, if any, are parallel or perpendicular. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37214\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-38.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 38\" width=\"450\" height=\"30\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-38.png 450w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-38-300x20.png 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/p>\n<p>Question 4.<br \/>\nWrite an equation of the line that passes through (-3, 5) and is perpendicular to the line y = -3x &#8211; 1.<\/p>\n<p>Question 5.<br \/>\nIn Example 5, a boat is traveling parallel to the shoreline and passes through (9, 3). Write an equation that represents the path of the boat.<\/p>\n<h3><a id=\"Writing_Equations_of_Parallel_and_Perpendicular_Lines_4.3_Exercises\"><\/a>Writing Equations of Parallel and Perpendicular Lines 4.3 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>COMPLETE THE SENTENCE<\/b><br \/>\nTwo distinct nonvertical lines that have the same slope are ____.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41788\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 1\" width=\"433\" height=\"36\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-1.png 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-1-300x25.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>VOCABULARY<\/b><br \/>\nTwo lines are perpendicular. The slope of one line is &#8211;\\(\\frac{5}{7}\\). What is the slope of the other line? Justify your answer.<br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20138, determine which of the lines, if any, are parallel. Explain.<\/b><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37215\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-39.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 39\" width=\"151\" height=\"154\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41789\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 3\" width=\"518\" height=\"206\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-3.png 518w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-3-300x119.png 300w\" sizes=\"(max-width: 518px) 100vw, 518px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37216\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-40.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 40\" width=\"161\" height=\"152\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nLine a passes through (-1, -2) and (1, 0).<br \/>\nLine b passes through (4, 2) and (2, -2).<br \/>\nLine c passes through (0, 2) and (-1, 1).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41790\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 5\" width=\"554\" height=\"211\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-5.png 554w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-5-300x114.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Question 6.<br \/>\nLine a passes through (-1, 3) and (1, 9).<br \/>\nLine b passes through (-2, 12) and (-1, 14).<br \/>\nLine c passes through (3, 8) and (6, 10).<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nLine a: 4y + x = 8<br \/>\nLine b: 2y + x = 4<br \/>\nLine c: 2y = -3x + 6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-7.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 7.1\" width=\"442\" height=\"523\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-7.1.png 442w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-7.1-254x300.png 254w\" sizes=\"(max-width: 442px) 100vw, 442px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41792\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-7.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 7.2\" width=\"531\" height=\"268\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-7.2.png 531w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-7.2-300x151.png 300w\" sizes=\"(max-width: 531px) 100vw, 531px\" \/><\/p>\n<p>Question 8.<br \/>\nLine a: 3y &#8211; x = 6<br \/>\nLine b: 3y = x + 18<br \/>\nLine c: 3y &#8211; 2x = 9<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 9\u201312, write an equation of the line that passes through the given point and is parallel to the given line.<\/b><\/p>\n<p>Question 9.<br \/>\n(-1, 3); y = 2x + 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 9\" width=\"582\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-9.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-9-300x116.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 10.<br \/>\n(1, 2); y = -5x + 4<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n(18, 2); 3y &#8211; x = -12<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 11\" width=\"546\" height=\"508\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-11.png 546w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-11-300x279.png 300w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/p>\n<p>Question 12.<br \/>\n(2, -5); 2y = 3x + 10<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 13\u201318, determine which of the lines, if any, are parallel or perpendicular. Explain.<\/b><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37217\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-41.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 41\" width=\"148\" height=\"156\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 13\" width=\"541\" height=\"264\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-13.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-13-300x146.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37218\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-42.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 42\" width=\"169\" height=\"154\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\nLine a passes through (-2, 1) and (0, 3).<br \/>\nLine b passes through (4, 1) and (6, 4).<br \/>\nLine c passes through (1, 3) and (4, 1).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 15\" width=\"562\" height=\"259\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-15.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-15-300x138.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 16.<br \/>\nLine a passes through (2, 10) and (4, 13).<br \/>\nLine b passes through (4, 9) and (6, 12).<br \/>\nLine c passes through (2, 10) and (4, 9).<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\nLine a: 4x &#8211; 3y = 2<br \/>\nLine b: y = \\(\\frac{4}{3}\\)x + 2<br \/>\nLine c: 4y + 3x = 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41797\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 17\" width=\"559\" height=\"589\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-17.png 559w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-17-285x300.png 285w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 18.<br \/>\nLine a: y = 6x &#8211; 2<br \/>\nLine b: 6y = -x<br \/>\nLine c: y + 6x = 1<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 19\u201322, write an equation of the line that passes through the given point and is perpendicular to the given line.<\/b><\/p>\n<p>Question 19.<br \/>\n(7, 10); y = \\(\\frac{1}{2}\\)x &#8211; 9<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41798\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 19\" width=\"514\" height=\"239\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-19.png 514w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-19-300x139.png 300w\" sizes=\"(max-width: 514px) 100vw, 514px\" \/><\/p>\n<p>Question 20.<br \/>\n(-4, -1); y = \\(\\frac{4}{3}\\)x + 6<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n(-3, 3); 2y = 8x &#8211; 6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41800\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 21\" width=\"511\" height=\"555\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-21.png 511w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-21-276x300.png 276w\" sizes=\"(max-width: 511px) 100vw, 511px\" \/><\/p>\n<p>Question 22.<br \/>\n(8, 1); 2y + 4x = 12<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 23 and 24, write an equation of the line that passes through the given point and is (a) parallel and(b) perpendicular to the given line.<\/b><\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37219\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-43.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 43\" width=\"146\" height=\"150\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 23\" width=\"556\" height=\"588\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-23.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-23-284x300.png 284w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37220\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-44.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 44\" width=\"160\" height=\"156\" \/><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing an equation of the line that passes through (1, 3) and is parallel to the line y = \\(\\frac{1}{4}\\)x + 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37221\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-45.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 45\" width=\"241\" height=\"128\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 25\" width=\"541\" height=\"428\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-25.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-25-300x237.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 26.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing an equation of the line that passes through (4, -5) and is perpendicular to the line y = \\(\\frac{1}{3}\\)x + 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37222\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-46.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 46\" width=\"249\" height=\"130\" \/><br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nA city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37223\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-47.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 47\" width=\"281\" height=\"164\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-27.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 27\" width=\"538\" height=\"320\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-27.png 538w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-27-300x178.png 300w\" sizes=\"(max-width: 538px) 100vw, 538px\" \/><\/p>\n<p>Question 28.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nA parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area at the point (4, 5). Write an equation that represents the path.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37224\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-48.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 48\" width=\"302\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-48.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-48-300x171.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<b>MATHEMATICAL CONNECTIONS<\/b><br \/>\nThe vertices of a quadrilateral are A(2, 2), B(6, 4), C(8, 10), and D(4, 8).<br \/>\na. Is quadrilateral ABCD a parallelogram? Explain.<br \/>\nb. Is quadrilateral ABCD a rectangle? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41805\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-29.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 29.1\" width=\"333\" height=\"523\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-29.1.png 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-29.1-191x300.png 191w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41806\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-29.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 29.2\" width=\"620\" height=\"237\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-29.2.png 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-29.2-300x115.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p>Question 30.<br \/>\n<b>USING STRUCTURE<\/b><br \/>\nFor what value of a are the graphs of 6y = -2x + 4 and 2y = ax &#8211; 5 parallel? perpendicular?<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<b>MAKING AN ARGUMENT<\/b><br \/>\nA hockey puck leaves the blade of a hockey stick, bounces off a wall, and travels in a new direction, as shown. Your friend claims the path of the puck forms a right angle. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37225\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-49.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 49\" width=\"158\" height=\"207\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41807\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-31.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 31\" width=\"582\" height=\"205\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-31.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-31-300x106.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 32.<br \/>\n<b>HOW DO YOU SEE IT?<\/b><br \/>\nA softball academy charges students an initial registration fee plus a monthly fee. The graph shows the total amounts paid by two students over a 4-month period. The lines are parallel.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37226\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-50.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 50\" width=\"245\" height=\"173\" \/><br \/>\na. Did one of the students pay a greater registration fee? Explain.<br \/>\nb. Did one of the students pay a greater monthly fee? Explain.<br \/>\nAnswer:<\/p>\n<p><b>REASONING<br \/>\nIn Exercises 33\u201335, determine whether the statement is always, sometimes, or never true. Explain your reasoning.<\/b><\/p>\n<p>Question 33.<br \/>\nTwo lines with positive slopes are perpendicular.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41808\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 33\" width=\"567\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-33.png 567w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-33-300x43.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 34.<br \/>\nA vertical line is parallel to the y-axis.<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\nTwo lines with the same y-intercept are perpendicular.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-35.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 35\" width=\"577\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-35.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-35-300x57.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 36.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nYou are designing a new logo for your math club. Your teacher asks you to include at least one pair of parallel lines and at least one pair of perpendicular lines. Sketch your logo in a coordinate plane. Write the equations of the parallel and perpendicular lines.<br \/>\nAnswer:<\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Determine whether the relation is a function. Explain. <\/b>(Section 3.1)<\/p>\n<p>Question 37.<br \/>\n(3, 6), (4, 8), (5, 10), (6, 10), (7, 14)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41810\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-37.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.3 Question 37\" width=\"552\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-37.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.3-Question-37-300x29.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 38.<br \/>\n(-1, 6), (1, 4), (-1, 2), (1, 6), (-1, 5)<br \/>\nAnswer:<\/p>\n<h3><a id=\"Writing_Linear_Functions_Study_Skills:_Getting_Actively_Involved_in_Class\"><\/a>Writing Linear Functions Study Skills: Getting Actively Involved in Class<\/h3>\n<p><b>4.1\u20134.3 What Did You Learn<\/b><\/p>\n<p><b>Core Vocabulary<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37227\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-51.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 51\" width=\"396\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-51.png 396w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-51-300x41.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/p>\n<p><b>Core Concepts<\/b><\/p>\n<p><b>Section 4.1<\/b><br \/>\nUsing Slope-Intercept Form, p. 176<\/p>\n<p><b>Section 4.2<\/b><br \/>\nUsing Point-Slope Form, p. 182<\/p>\n<p><b>Section 4.3<\/b><br \/>\nParallel Lines and Slopes, p. 188<br \/>\nPerpendicular Lines and Slopes, p. 189<\/p>\n<p><b>Mathematical Practices<\/b><\/p>\n<p>Question 1.<br \/>\nHow can you explain to yourself the meaning of the graph in Exercise 36 on page 180?<\/p>\n<p>Question 2.<br \/>\nHow did you use the structure of the equations in Exercise 39 on page 186 to make a conjecture?<\/p>\n<p>Question 3.<br \/>\nHow did you use the diagram in Exercise 31 on page 192 to determine whether your friend was correct?<\/p>\n<p><b>Study Skills<\/b><\/p>\n<p><b>Getting Actively Involved in Class<\/b><\/p>\n<p>If you do not understand something at all and do not even know how to phrase a question, just ask for clarification. You might say something like, \u201cCould you please explain the steps in this problem one more time?\u201dIf your teacher asks for someone to go up to the board, volunteer. The student at the board often receives additional attention and instruction to complete the problem.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37228\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-52.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 52\" width=\"394\" height=\"293\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-52.png 394w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-52-300x223.png 300w\" sizes=\"(max-width: 394px) 100vw, 394px\" \/><\/p>\n<h3><a id=\"Writing_Linear_Functions_4.1_-_4.3\"><\/a>Writing Linear Functions 4.1 &#8211; 4.3<\/h3>\n<p><b>4.1 &#8211; 4.3 Quiz<\/b><\/p>\n<p><b>Write an equation of the line in slope-intercept form.<\/b> (Section 4.1)<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37229\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-53.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 53\" width=\"164\" height=\"152\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37230\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-54.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 54\" width=\"161\" height=\"160\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-54.png 161w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-54-150x150.png 150w\" sizes=\"(max-width: 161px) 100vw, 161px\" \/><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37231\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-55.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 55\" width=\"159\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-55.png 159w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-55-150x150.png 150w\" sizes=\"(max-width: 159px) 100vw, 159px\" \/><\/p>\n<p><b>Write an equation in point-slope form of the line that passes through the given points. <\/b>(Section 4.2)<\/p>\n<p>Question 4.<br \/>\n(-2, 5), (1, -1)<\/p>\n<p>Question 5.<br \/>\n(-3, -2), (2, -1)<\/p>\n<p>Question 6.<br \/>\n(1, 0), (4, 4)<\/p>\n<p><b>Write a linear function f with the given values. <\/b>(Section 4.1 and Section 4.2)<\/p>\n<p>Question 7.<br \/>\nf(0) = 2, f(5) = -3<\/p>\n<p>Question 8.<br \/>\nf(-1) = -6, f(4) = -6<\/p>\n<p>Question 9.<br \/>\nf(-3) = -2, f(-2) = 3<\/p>\n<p><b>Determine which of the lines, if any, are parallel or perpendicular. Explain. <\/b>(Section 4.3)<\/p>\n<p>Question 10.<br \/>\nLine a passes through (-2, 2) and (2, 1).<br \/>\nLine b passes through (1, -8) and (3, 0).<br \/>\nLine c passes through (-4, -3) and (0, -2).<\/p>\n<p>Question 11.<br \/>\nLine a: 2x + 6y = -12<br \/>\nLine b: y = \\(\\frac{3}{2}\\)x &#8211; 5<br \/>\nLine c : 3x &#8211; 2y = -4<\/p>\n<p><b>Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.<\/b> (Section 4.3)<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37232\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-56.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 56\" width=\"159\" height=\"157\" \/><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37233\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-57.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 57\" width=\"162\" height=\"163\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-57.png 162w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-57-150x150.png 150w\" sizes=\"(max-width: 162px) 100vw, 162px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37234\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-58.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 58\" width=\"163\" height=\"169\" \/><\/p>\n<p>Question 15.<br \/>\nA website hosting company charges an initial fee of $48 to set up a website. The company charges $44 per month to maintain the website. (Section 4.1)<br \/>\na. Write a linear model that represents the total cost of setting up and maintaining a website as a function of the number of months it is maintained.<br \/>\nb. Find the total cost of setting up a website and maintaining it for 6 months.<br \/>\nc. A different website hosting company charges $62 per month to maintain a website, but there is no initial set-up fee. You have $620. At which company can you set up and maintain a website for the greatest amount of time? Explain.<\/p>\n<p>Question 16.<br \/>\nThe table shows the amount of water remaining in a water tank as it drains. Can the situation be modeled by a linear equation? Explain. If possible, write a linear model that represents the amount of water remaining in the tank as a function of time. (Section 4.2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37235\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-59.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 59\" width=\"322\" height=\"74\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-59.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-59-300x69.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/p>\n<h3><a id=\"Lesson_4.4_Scatter_Plots_and_Lines_of_Fit\"><\/a>Lesson 4.4 Scatter Plots and Lines of Fit<\/h3>\n<p><b>Essential Question<\/b><\/p>\n<p>How can you use a scatter plot and a line of fit to make conclusions about data?<br \/>\nA scatter plot is a graph that shows the relationship between two data sets. The two data sets are graphed as ordered pairs in a coordinate plane.<\/p>\n<p><b>EXPLORATION 1<br \/>\nFinding a Line of Fit<br \/>\nWork with a partner. <\/b>A survey was taken of 179 married couples. Each person was asked his or her age. The scatter plot shows the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37236\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-60.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 60\" width=\"274\" height=\"306\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-60.png 274w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-60-269x300.png 269w\" sizes=\"(max-width: 274px) 100vw, 274px\" \/><br \/>\na. Draw a line that approximates the data. Write an equation of the line. Explain the method you used.<br \/>\nb. What conclusions can you make from the equation you wrote? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37237\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-61.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 61\" width=\"216\" height=\"176\" \/><\/p>\n<p><b>EXPLORATION 2<br \/>\nWork with a partner.<\/b> The scatter plot shows the median ages of American women at their first marriage for selected years from 1960 through 2010.<br \/>\na. Draw a line that approximates the data. Write an equation of the line. Explain the method you used.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37238\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-62.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 62\" width=\"272\" height=\"217\" \/><br \/>\nb. What conclusions can you make from the equation you wrote?<br \/>\nc. Use your equation to predict the median age of American women at their first marriage in the year 2020.<\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 3.<br \/>\nHow can you use a scatter plot and a line of fit to make conclusions about data?<\/p>\n<p>Question 4.<br \/>\nUse the Internet or some other reference to find a scatter plot of real-life data that is different from those given above. Then draw a line that approximates the data and write an equation of the line. Explain the method you used.<\/p>\n<p><b>4.4 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 1.<br \/>\nHow many calories are in the smoothie that contains 51 grams of sugar?<\/p>\n<p>Question 2.<br \/>\nHow many grams of sugar are in the smoothie that contains 250 calories?<\/p>\n<p><b>Make a scatter plot of the data. Tell whether the data show a positive, a negative, or no correlation.<\/b><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37239\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-63.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 63\" width=\"484\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-63.png 484w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-63-300x43.png 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37240\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-64.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 64\" width=\"490\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-64.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-64-300x44.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><\/p>\n<p>Question 5.<br \/>\nThe following data pairs show the monthly income x (in dollars) and the monthly car payment y (in dollars) of six people: (2100, 410), (1650, 315), (1950, 405), (1500, 295), (2250, 440), and (1800, 375). Write an equation that models the monthly car payment as a function of the monthly income. Interpret the slope and y-intercept of the line of fit.<\/p>\n<h3><a id=\"Scatter_Plots_and_Lines_of_Fit_4.4_Exercises\"><\/a>Scatter Plots and Lines of Fit 4.4 Exercises<\/h3>\n<p>Question 1.<br \/>\n<b>COMPLETE THE SENTENCE<\/b><br \/>\nWhen data show a positive correlation, the dependent variable tends to ____________ as the independent variable increases.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 1\" width=\"571\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-1.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-1-300x33.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>VOCABULARY<\/b><br \/>\nWhat is a line of fit?<br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20136, use the scatter plot to fill in the missing coordinate of the ordered pair.<\/b><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37241\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-65.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 65\" width=\"76\" height=\"38\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 3\" width=\"70\" height=\"28\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37380\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-203.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 203\" width=\"74\" height=\"43\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37242\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-67.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 67\" width=\"70\" height=\"39\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 5\" width=\"69\" height=\"32\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37243\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-69.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 69\" width=\"74\" height=\"35\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37244\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-70.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 70\" width=\"218\" height=\"214\" \/><\/p>\n<p>Question 7.<br \/>\n<b>INTERPRETING A SCATTER PLOT<\/b><br \/>\nThe scatter plot shows the hard drive capacities (in gigabytes) and the prices (in dollars) of 10 laptops.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37245\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-71.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 71\" width=\"274\" height=\"220\" \/><br \/>\na. What is the price of the laptop with a hard drive capacity of 8 gigabytes?<br \/>\nb. What is the hard drive capacity of the $1200 laptop?<br \/>\nc. What tends to happen to the price as the hard drive capacity increases?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 7\" width=\"578\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-7.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-7-300x78.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Question 8.<br \/>\n<b>INTERPRETING A SCATTER PLOT<\/b><br \/>\nThe scatter plot shows the earned run averages and the winning percentages of eight pitchers on a baseball team.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37246\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-72.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 72\" width=\"239\" height=\"209\" \/><br \/>\na. What is the winning percentage of the pitcher with an earned run average of 4.2?<br \/>\nb. What is the earned run average of the pitcher with a winning percentage of 0.33?<br \/>\nc. What tends to happen to the winning percentage as the earned run average increases?<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 9\u201312, tell whether x and y show a positive, a negative, or no correlation.<\/b><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37247\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-73.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 73\" width=\"135\" height=\"131\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41815\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 9\" width=\"570\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-9.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-9-300x32.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37248\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-74.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 74\" width=\"139\" height=\"131\" \/><br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37249\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-75.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 75\" width=\"134\" height=\"135\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 11\" width=\"521\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-11.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-11-300x32.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37250\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-76.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 76\" width=\"137\" height=\"135\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 13 and 14, make a scatter plot of the data. Tell whether x and y show a positive, a negative, or no correlation.<\/b><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37251\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-77.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 77\" width=\"333\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-77.png 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-77-300x64.png 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 13\" width=\"522\" height=\"206\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-13.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-13-300x118.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37252\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-78.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 4 Writing Linear Functions 78\" width=\"331\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-78.png 331w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-4-Writing-Linear-Functions-78-300x64.png 300w\" sizes=\"(max-width: 331px) 100vw, 331px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe table shows the world birth rates y (number of births per 1000 people) x years since 1960.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37134\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-79.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 79\" width=\"292\" height=\"66\" \/><br \/>\na. Write an equation that models the birthrate as a function of the number of years since 1960.<br \/>\nb. Interpret the slope and y-intercept of the line of fit.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-15.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 15.1\" width=\"556\" height=\"374\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-15.1.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-15.1-300x202.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41820\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-15.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 15.2\" width=\"569\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-15.2.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-15.2-300x242.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 16.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe table shows the total earnings y (in dollars) of a food server who works x hours.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37135\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-80.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 80\" width=\"297\" height=\"71\" \/><br \/>\na. Write an equation that models the server\u2019s earnings as a function of the number of hours the server works.<br \/>\nb. Interpret the slope and y-intercept of the line of fit.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<b>OPEN-ENDED<\/b><br \/>\nGive an example of a real-life data set that shows a negative correlation.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41821\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 17\" width=\"581\" height=\"352\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-17.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-17-300x182.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 18.<br \/>\n<b>MAKING AN ARGUMENT<\/b><br \/>\nYour friend says that the data in the table show a negative correlation because the dependent variable y is decreasing. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37136\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-81.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 81\" width=\"302\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-81.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-81-300x71.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<b>USING TOOLS<\/b><br \/>\nUse a ruler or a yardstick to find the heights and arm spans of five people.<br \/>\na. Make a scatter plot using the data you collected. Then draw a line of fit for the data.<br \/>\nb. Interpret the slope and y-intercept of the line of fit.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41822\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-19.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 19.1\" width=\"477\" height=\"552\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-19.1.png 477w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-19.1-259x300.png 259w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41823\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-19.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 19.2\" width=\"575\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-19.2.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-19.2-300x115.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 20.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nA line of fit for a scatter plot is given by the equation y = 5x + 20. Describe a real-life data set that could be represented by the scatter plot.<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<b>WRITING<\/b><br \/>\nWhen is data best displayed in a scatter plot, rather than another type of display, such as a bar graph or circle graph?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41824\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 21\" width=\"558\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-21.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-21-300x44.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/p>\n<p>Question 22.<br \/>\n<b>HOW DO YOU SEE IT?<\/b><br \/>\nThe scatter plot shows part of a data set and a line of fit for the data set. Four data points are missing. Choose possible coordinates for these data points.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37137\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-82.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 82\" width=\"221\" height=\"152\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<b>REASONING<\/b><br \/>\nA data set has no correlation. Is it possible to find a line of fit for the data? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41825\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 23\" width=\"585\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-23.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-23-300x45.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 24.<br \/>\n<b>ANALYZING RELATIONSHIPS<\/b><br \/>\nMake a scatter plot of the data in the tables. Describe the relationship between the variables. Is it possible to fit a line to the data? If so, write an equation of the line. If not, explain why.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37138\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-83.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 83\" width=\"314\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-83.png 314w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-83-300x137.png 300w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><br \/>\nAnswer:<\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Evaluate the function when x = \u22123, 0, and 4. <\/b>(Section 3.3)<\/p>\n<p>Question 25.<br \/>\ng(x) = 6x<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41826\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 25\" width=\"290\" height=\"413\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-25.png 290w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-25-211x300.png 211w\" sizes=\"(max-width: 290px) 100vw, 290px\" \/><\/p>\n<p>Question 26.<br \/>\nh(x) = -10x<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\nf(x) = 5x &#8211; 8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41827\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-27.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.4 Question 27\" width=\"289\" height=\"517\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-27.png 289w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.4-Question-27-168x300.png 168w\" sizes=\"(max-width: 289px) 100vw, 289px\" \/><\/p>\n<p>Question 28.<br \/>\nv(x) = 14 &#8211; 3x<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_4.5_Analyzing_Lines_of_Fit\"><\/a>Lesson 4.5 Analyzing Lines of Fit<\/h3>\n<p><b>Essential Question<br \/>\nHow can you analytically find a line of best fit for a scatter plot?<\/b><\/p>\n<p><b>EXPLORATION 1<br \/>\nFinding a Line of Best Fit<br \/>\nWork with a partner.<\/b><br \/>\nThe scatter plot shows the median ages of American women at their first marriage for selected years from 1960 through 2010. In Exploration 2 in Section 4.4, you approximated a line of fit graphically. To find the line of best fit, you can use a computer, spreadsheet, or graphing calculator that has a linear regression feature.<br \/>\na. The data from the scatter plot is shown in the table. Note that 0, 5, 10, and so on represent the numbers of years since 1960. What does the ordered pair (25, 23.3) represent?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37139\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-84.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 84\" width=\"270\" height=\"210\" \/><br \/>\nb. Use the linear regression feature to find an equation of the line of best fit. You should obtain results such as those shown below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37141\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-85.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 85\" width=\"187\" height=\"185\" \/><br \/>\nc. Write an equation of the line of best fit. Compare your result with the equation you obtained in Exploration 2 in Section 4.4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37140\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-85.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 85.1\" width=\"186\" height=\"124\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 2.<br \/>\nHow can you analytically find a line of best fit for a scatter plot?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37142\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-86.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 86\" width=\"225\" height=\"139\" \/><br \/>\nQuestion 3.<br \/>\nThe data set relates the number of chirps per second for striped ground crickets and the outside temperature in degrees Fahrenheit. Make a scatter plot of the data. Then find an equation of the line of best fit. Use your result to estimate the outside temperature when there are 19 chirps per second.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37143\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-87.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 87\" width=\"344\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-87.png 344w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-87-300x120.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><\/p>\n<p><b>4.5 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 1.<br \/>\nThe table shows the attendances y (in thousands) at an amusement park from 2005 to 2014, where x = 0 represents the year 2005. The equation y = -9.8x + 850 models the data. Is the model a good fit?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37144\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-88.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 88\" width=\"510\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-88.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-88-300x41.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/p>\n<p>Question 2.<br \/>\nUse the data in Monitoring Progress Question 1.<br \/>\n(a) Use a graphing calculator to find an equation of the line of best fit. Then plot the data and graph the equation in the same viewing window.<br \/>\n(b) Identify and interpret the correlation coefficient.<br \/>\n(c) Interpret the slope and y-intercept of the line of best fit.<\/p>\n<p>Question 3.<br \/>\nRefer to Monitoring Progress Question 2. Use the equation of the line of best fit to predict the attendance at the amusement park in 2017.<\/p>\n<p>Question 4.<br \/>\nIs there a correlation between time spent playing video games and grade point average? If so, is there a causal relationship? Explain your reasoning.<\/p>\n<h3><a id=\"Analyzing_Lines_of_Fit_4.5_Exercises\"><\/a>Analyzing Lines of Fit 4.5 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>VOCABULARY<\/b><br \/>\nWhen is a residual positive? When is it negative?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41828\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 1\" width=\"588\" height=\"168\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-1.png 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-1-300x86.png 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>WRITING<\/b><br \/>\nExplain how you can use residuals to determine how well a line of fit models a data set.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<b>VOCABULARY<\/b><br \/>\nCompare interpolation and extrapolation.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41829\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 3\" width=\"570\" height=\"137\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-3.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-3-300x72.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 4.<br \/>\n<b>WHICH ONE DOESN\u2019T BELONG?<\/b><br \/>\nWhich correlation coefficient does not belong with the other three? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37145\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-89.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 89\" width=\"417\" height=\"51\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-89.png 417w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-89-300x37.png 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 5\u20138, use residuals to determine whether the model is a good fit for the data in the table. Explain.<\/b><\/p>\n<p>Question 5.<br \/>\ny = 4x &#8211; 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37146\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-90.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 90\" width=\"359\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-90.png 359w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-90-300x58.png 300w\" sizes=\"(max-width: 359px) 100vw, 359px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41830\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-5.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 5.1\" width=\"547\" height=\"455\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-5.1.png 547w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-5.1-300x250.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41831\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-5.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 5.2\" width=\"591\" height=\"298\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-5.2.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-5.2-300x151.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 6.<br \/>\ny = 6x + 4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37147\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-91.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 91\" width=\"355\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-91.png 355w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-91-300x57.png 300w\" sizes=\"(max-width: 355px) 100vw, 355px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\ny = -1.3x + 1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37148\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-92.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 92\" width=\"359\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-92.png 359w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-92-300x56.png 300w\" sizes=\"(max-width: 359px) 100vw, 359px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-7.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 7.1\" width=\"579\" height=\"462\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-7.1.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-7.1-300x239.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41834\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-7.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 7.2\" width=\"581\" height=\"208\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-7.2.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-7.2-300x107.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 8.<br \/>\ny = -0.5x &#8211; 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37149\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-93.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 93\" width=\"362\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-93.png 362w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-93-300x55.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n<b>ANALYZING RESIDUALS<\/b><br \/>\nThe table shows the growth y (in inches) of an elk\u2019s antlers during week x. The equation y = -0.7x + 6.8 models the data. Is the model a good fit? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37150\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-94.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 94\" width=\"295\" height=\"74\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 9\" width=\"578\" height=\"559\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-9.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-9-300x290.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Question 10.<br \/>\n<b>ANALYZING RESIDUALS<\/b><br \/>\nThe table shows the approximate numbers y (in thousands) of movie tickets sold from January to June for a theater. In the table, x = 1 represents January. The equation y = 1.3x + 27 models the data. Is the model a good fit? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37151\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-95.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 95\" width=\"153\" height=\"200\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 11\u201314, use a graphing calculator to find an equation of the line of best fit for the data. Identify and interpret the correlation coefficient.<\/b><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37152\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-96.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 96\" width=\"320\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-96.png 320w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-96-300x60.png 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41836\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 11\" width=\"547\" height=\"169\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-11.png 547w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-11-300x93.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37153\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-97.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 97\" width=\"323\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-97.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-97-300x64.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37154\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-98.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 98\" width=\"322\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-98.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-98-300x64.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41837\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 13\" width=\"553\" height=\"170\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-13.png 553w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-13-300x92.png 300w\" sizes=\"(max-width: 553px) 100vw, 553px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37155\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-99.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 99\" width=\"319\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-99.png 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-99-300x67.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nAnswer:<\/p>\n<p><b>ERROR ANALYSIS<br \/>\nIn Exercises 15 and 16, describe and correct the error in interpreting the graphing calculator display.<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37156\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-100.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 100\" width=\"166\" height=\"114\" \/><\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37157\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-101.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 101\" width=\"313\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-101.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-101-300x75.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41838\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 15\" width=\"565\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-15.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-15-300x61.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37158\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-102.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 102\" width=\"320\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-102.png 320w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-102-300x75.png 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe table shows the total numbers y of people who reported an earthquake x minutes after it ended.<br \/>\na. Use a graphing calculator to find an equation of the line of best fit. Then plot the data and graph the equation in the same viewing window.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37159\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-103.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 103\" width=\"173\" height=\"215\" \/><br \/>\nb. Identify and interpret the correlation coefficient.<br \/>\nc. Interpret the slope and y-intercept of the line of best fit.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41839\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 17\" width=\"599\" height=\"549\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-17.png 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-17-300x275.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/p>\n<p>Question 18.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe table shows the numbers y of people who volunteer at an animal shelter on each day x.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37160\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-104.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 104\" width=\"327\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-104.png 327w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-104-300x61.png 300w\" sizes=\"(max-width: 327px) 100vw, 327px\" \/><br \/>\na. Use a graphing calculator to find an equation of the line of best fit. Then plot the data and graph the equation in the same viewing window.<br \/>\nb. Identify and interpret the correlation coefficient.<br \/>\nc. Interpret the slope and y-intercept of the line of best fit.<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe table shows the mileages x (in thousands of miles) and the selling prices y (in thousands of dollars) of several used automobiles of the same year and model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37161\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-105.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 105\" width=\"325\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-105.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-105-300x66.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><br \/>\na. Use a graphing calculator to find an equation of the line of best fit.<br \/>\nb. Identify and interpret the correlation coefficient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37162\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-106.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 106\" width=\"224\" height=\"110\" \/><br \/>\nc. Interpret the slope and y-intercept of the line of best fit.<br \/>\nd. Approximate the mileage of an automobile that costs $15,500. e. Predict the price of an automobile with 6000 miles.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41840\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-19.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 19.1\" width=\"603\" height=\"581\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-19.1.png 603w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-19.1-300x289.png 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41841\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-19.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 19.2\" width=\"591\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-19.2.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-19.2-300x120.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 20.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe table shows the lengths x and costs y of several sailboats.<br \/>\na. Use a graphing calculator to find an equation of the line of best fit.<br \/>\nb. Identify and interpret the correlation coefficient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37163\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-107.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 107\" width=\"160\" height=\"251\" \/><br \/>\nc. Interpret the slope and y-intercept of the line of best fit.<br \/>\nd. Approximate the cost of a sailboat that is 20 feet long.<br \/>\ne. Predict the length of a sailboat that costs $147,000.<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 21\u201324, tell whether a correlation is likely in the situation. If so, tell whether there is a causal relationship. Explain your reasoning.<\/b><\/p>\n<p>Question 21.<br \/>\nthe amount of time spent talking on a cell phone and the remaining battery life<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41842\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 21\" width=\"560\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-21.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-21-300x47.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 22.<br \/>\nthe height of a toddler and the size of the toddler\u2019s vocabulary<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nthe number of hats you own and the size of your head<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41843\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 23\" width=\"555\" height=\"86\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-23.png 555w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-23-300x46.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<p>Question 24.<br \/>\nthe weight of a dog and the length of its tail<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<b>OPEN-ENDED<\/b><br \/>\nDescribe a data set that has a strong correlation but does not have a causal relationship.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41844\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 25\" width=\"591\" height=\"226\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-25.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-25-300x115.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 26.<br \/>\n<b>HOW DO YOU SEE IT?<\/b><br \/>\nMatch each graph with its correlation coefficient. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37164\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-108.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 108\" width=\"343\" height=\"284\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-108.png 343w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-108-300x248.png 300w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<b>ANALYZING RELATIONSHIPS<\/b><br \/>\nThe table shows the grade point averages y of several students and the numbers x of hours they spend watching television each week.<br \/>\na. Use a graphing calculator to find an equation of the line of best fit. Identify and interpret the correlation coefficient.<br \/>\nb. Interpret the slope and y-intercept of the line of best fit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37165\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-109.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 109\" width=\"163\" height=\"278\" \/><br \/>\nc. Another student watches about 14 hours of television each week. Approximate the student\u2019s grade point average.<br \/>\nd. Do you think there is a causal relationship between time spent watching television and grade point average? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41845\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-27.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 27.1\" width=\"601\" height=\"546\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-27.1.png 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-27.1-300x273.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41846\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-27.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 27.2\" width=\"572\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-27.2.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-27.2-300x77.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 28.<br \/>\n<b>MAKING AN ARGUMENT<\/b><br \/>\nA student spends 2 hours watching television each week and has a grade point average of 2.4. Your friend says including this information in the data set in Exercise 27 will weaken the correlation. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<b>USING MODELS<\/b><br \/>\nRefer to Exercise 17.<br \/>\na. Predict the total numbers of people who reported an earthquake 9 minutes and 15 minutes after it ended.<br \/>\nb. The table shows the actual data. Describe the accuracy of your extrapolations in part (a).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37166\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-110.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 110\" width=\"184\" height=\"79\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41847\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-29.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 29.1\" width=\"596\" height=\"508\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-29.1.png 596w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-29.1-300x256.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><\/p>\n<p>Question 30.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nA data set consists of the numbers x of people at Beach 1 and the numbers y of people at Beach 2 recorded daily for 1 week. Sketch a possible graph of the data set. Describe the situation shown in the graph and give a possible correlation coefficient. Determine whether there is a causal relationship. Explain.<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<b>COMPARING METHODS<\/b><br \/>\nThe table shows the numbers y (in billions) of text messages sent each year in a five-year period, where x = 1 represents the first year in the five-year period.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37167\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-111.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 111\" width=\"342\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-111.png 342w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-111-300x71.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><br \/>\na. Use a graphing calculator to find an equation of the line of best fit. Identify and interpret the correlation coefficient.<br \/>\nb. Is there a causal relationship? Explain your reasoning.<br \/>\nc. Calculate the residuals. Then make a scatter plot of the residuals and interpret the results.<br \/>\nd. Compare the methods you used in parts (a) and (c) to determine whether the model is a good fit. Which method do you prefer? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41848\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 31.1\" width=\"648\" height=\"315\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.1.png 648w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.1-300x146.png 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41849\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 31.2\" width=\"627\" height=\"570\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.2.png 627w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.2-300x273.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41850\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 31.3\" width=\"643\" height=\"228\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.3.png 643w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-31.3-300x106.png 300w\" sizes=\"(max-width: 643px) 100vw, 643px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Determine whether the table represents a linear or nonlinear function. Explain. <\/b>(Section 3.2)<\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37168\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-112.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 112\" width=\"209\" height=\"73\" \/><br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37169\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-113.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 113\" width=\"207\" height=\"66\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41851\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.5 Question 33\" width=\"521\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-33.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.5-Question-33-300x35.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<h3><a id=\"Lesson_4.6_Arithmetic_Sequences\"><\/a>Lesson 4.6 Arithmetic Sequences<\/h3>\n<p><b>Essential Question<\/b><br \/>\nHow can you use an arithmetic sequence to describe a pattern?<\/p>\n<p>An arithmetic sequence is an ordered list of numbers in which the difference between each pair of consecutive terms, or numbers in the list, is the same.<\/p>\n<p><b>EXPLORATION 1<br \/>\nDescribing a Pattern<br \/>\nWork with a partner. <\/b>Use the figures to complete the table. Plot the points given by your completed table. Describe the pattern of the y-values.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37170\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-114.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 114\" width=\"774\" height=\"503\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-114.png 774w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-114-300x195.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-114-768x499.png 768w\" sizes=\"(max-width: 774px) 100vw, 774px\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 2.<br \/>\nHow can you use an arithmetic sequence to describe a pattern? Give an example from real life.<\/p>\n<p>Question 3.<br \/>\nIn chemistry, water is called H<sub>2<\/sub>O because each molecule of water has two hydrogen atoms and one oxygen atom. Describe the pattern shown below. Use the pattern to determine the number of atoms in 23 molecules.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37171\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-115.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 115\" width=\"467\" height=\"129\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-115.png 467w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-115-300x83.png 300w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/p>\n<p><b>4.6 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p><b>Write the next three terms of the arithmetic sequence.<\/b><\/p>\n<p>Question 1.<br \/>\n-12, 0, 12, 24, . . .<\/p>\n<p>Question 2.<br \/>\n0.2, 0.6, 1, 1.4, . . .<\/p>\n<p>Question 3.<br \/>\n4, 3\\(\\frac{3}{4}\\), 3\\(\\frac{1}{2}\\), 3\\(\\frac{1}{4}\\)<\/p>\n<p><b>Graph the arithmetic sequence. What do you notice?<\/b><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37172\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-116.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 116\" width=\"179\" height=\"194\" \/><\/p>\n<p>Question 4.<br \/>\n3, 6, 9, 12, . . .<\/p>\n<p>Question 5.<br \/>\n4, 2, 0, -2, . . .<\/p>\n<p>Question 6.<br \/>\n1, 0.8, 0.6, 0.4, . . .<\/p>\n<p>Question 7.<br \/>\nDoes the graph shown represent an arithmetic sequence? Explain.<\/p>\n<p><b>Write an equation for the nth term of the arithmetic sequence. Then find a<sub>25<\/sub>.<\/b><\/p>\n<p>Question 8.<br \/>\n4, 5, 6, 7, . . .<\/p>\n<p>Question 9.<br \/>\n8, 16, 24, 32, . . .<\/p>\n<p>Question 10.<br \/>\n1, 0, -1, -2, . . .<\/p>\n<p>Question 11.<br \/>\nA carnival charges $2 for each game after you pay a $5 entry fee.<br \/>\na. Write a function that represents the arithmetic sequence.<br \/>\nb. Graph the function.<br \/>\nc. How many games can you play when you take $29 to the carnival?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37173\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-117.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 117\" width=\"189\" height=\"133\" \/><\/p>\n<h3><a id=\"Arithmetic_Sequences_4.6_Exercises\"><\/a>Arithmetic Sequences 4.6 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>WRITING<\/b><br \/>\nDescribe the graph of an arithmetic sequence.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41852\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 1\" width=\"534\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-1.png 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-1-300x35.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>DIFFERENT WORDS, SAME QUESTION<\/b><br \/>\nConsider the arithmetic sequence represented by the graph. Which is different? Find \u201cboth\u201d answers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37174\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-118.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 118\" width=\"603\" height=\"149\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-118.png 603w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-118-300x74.png 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3 and 4, write the next three terms of the arithmetic sequence.<\/b><\/p>\n<p>Question 3.<br \/>\nFirst term: 2<br \/>\nCommon difference: 13<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41853\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 3\" width=\"454\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-3.png 454w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-3-300x99.png 300w\" sizes=\"(max-width: 454px) 100vw, 454px\" \/><\/p>\n<p>Question 4.<br \/>\nFirst term: 18<br \/>\nCommon difference: \u22126<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 5\u221210, find the common difference of the arithmetic sequence.<\/b><\/p>\n<p>Question 5.<br \/>\n13, 18, 23, 28, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41854\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 5\" width=\"387\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-5.png 387w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-5-300x48.png 300w\" sizes=\"(max-width: 387px) 100vw, 387px\" \/><\/p>\n<p>Question 6.<br \/>\n175, 150, 125, 100, . . .<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n-16, -12, -8, -4, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41855\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 7\" width=\"319\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-7.png 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-7-300x111.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><\/p>\n<p>Question 8.<br \/>\n4, 3\\(\\frac{2}{3}\\), 3\\(\\frac{1}{3}\\), 3, . . .<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n6.5, 5, 3.5, 2, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41856\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 9\" width=\"476\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-9.png 476w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-9-300x40.png 300w\" sizes=\"(max-width: 476px) 100vw, 476px\" \/><\/p>\n<p>Question 10.<br \/>\n-16, -7, 2, 11, . . .<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 11\u221216, write the next three terms of the arithmetic sequence.<\/b><\/p>\n<p>Question 11.<br \/>\n19, 22, 25, 28, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41858\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 11\" width=\"578\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-11.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-11-300x78.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Question 12.<br \/>\n1, 12, 23, 34, . . .<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n16, 21, 26, 31, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41859\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 13\" width=\"577\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-13.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-13-300x79.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 14.<br \/>\n60, 30, 0, -30, . . .<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n1.3, 1, 0.7, 0.4, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41860\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 15\" width=\"578\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-15.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-15-300x78.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Question 16.<br \/>\n\\(\\frac{5}{6}\\), \\(\\frac{2}{3}\\), \\(\\frac{1}{2}\\), \\(\\frac{1}{3}\\), . . .<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 17\u221222, graph the arithmetic sequence.<\/b><\/p>\n<p>Question 17.<br \/>\n4, 12, 20, 28, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41861\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 17\" width=\"515\" height=\"318\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-17.png 515w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-17-300x185.png 300w\" sizes=\"(max-width: 515px) 100vw, 515px\" \/><\/p>\n<p>Question 18.<br \/>\n-15, 0, 15, 30, . . .<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n\u22121, \u22123, \u22125, \u22127, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41862\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 19\" width=\"519\" height=\"308\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-19.png 519w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-19-300x178.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/p>\n<p>Question 20.<br \/>\n2, 19, 36, 53, . . .<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n0, 41\\(\\frac{1}{2}\\), 9, 13\\(\\frac{1}{2}\\), . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41863\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 21\" width=\"568\" height=\"343\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-21.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-21-300x181.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 22.<br \/>\n6, 5.25, 4.5, 3.75, . . .<br \/>\nAnswer:<\/p>\n<p><b>In Exercises 23\u221226, determine whether the graph represents an arithmetic sequence. Explain.<\/b><\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37175\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-119.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 119\" width=\"145\" height=\"145\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41864\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 23\" width=\"575\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-23.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-23-300x31.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37176\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-120.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 120\" width=\"152\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37177\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-121.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 121\" width=\"142\" height=\"153\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41865\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 25\" width=\"552\" height=\"208\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-25.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-25-300x113.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37178\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-122.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 122\" width=\"151\" height=\"146\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 27\u221230, determine whether the sequence is arithmetic. If so, find the common difference.<\/b><\/p>\n<p>Question 27.<br \/>\n13, 26, 39, 52, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41866\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-27.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 27\" width=\"555\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-27.png 555w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-27-300x82.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<p>Question 28.<br \/>\n5, 9, 14, 20, . . .29.<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n48, 24, 12, 6, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41867\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-29.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 29\" width=\"497\" height=\"179\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-29.png 497w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-29-300x108.png 300w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<p>Question 30.<br \/>\n87, 81, 75, 69, . . .<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<b>FINDING A PATTERN<\/b><br \/>\nWrite a sequence that represents the number of smiley faces in each group. Is the sequence arithmetic? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37179\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-123.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 123\" width=\"265\" height=\"119\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41868\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-31.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 31\" width=\"472\" height=\"179\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-31.png 472w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-31-300x114.png 300w\" sizes=\"(max-width: 472px) 100vw, 472px\" \/><\/p>\n<p>Question 32.<br \/>\n<b>FINDING A PATTERN<\/b><br \/>\nWrite a sequence that represents the sum of the numbers in each roll. Is the sequence arithmetic? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37180\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-124.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 124\" width=\"315\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-124.png 315w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-124-300x143.png 300w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 33\u221238, write an equation for the nth term of the arithmetic sequence. Then find a<sub>10<\/sub>.<\/b><\/p>\n<p>Question 33.<br \/>\n-5, -4, -3, -2, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41869\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 33\" width=\"522\" height=\"412\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-33.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-33-300x237.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<p>Question 34.<br \/>\n-6, -9, -12, -15, . . .<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n\\(\\frac{1}{2}\\), 1, 1\\(\\frac{1}{2}\\), 2, &#8230;&#8230;<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41870\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-35.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 35\" width=\"529\" height=\"628\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-35.png 529w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-35-253x300.png 253w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p>\n<p>Question 36.<br \/>\n100, 110, 120, 130, &#8230;.<br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\n10, 0, -10, -20, &#8230;&#8230;<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41871\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-37.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 37\" width=\"516\" height=\"444\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-37.png 516w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-37-300x258.png 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Question 38.<br \/>\n\\(\\frac{3}{7}\\), \\(\\frac{4}{7}\\), \\(\\frac{5}{7}\\), \\(\\frac{6}{7}\\), &#8230;&#8230;&#8230;<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in finding the common difference of the arithmetic sequence.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37181\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-125.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 125\" width=\"263\" height=\"110\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41872\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-39.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 39\" width=\"577\" height=\"175\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-39.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-39-300x91.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 40.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in writing an equation for the nth term of the arithmetic sequence.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37182\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-126.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 126\" width=\"230\" height=\"105\" \/><br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\n<b>NUMBER SENSE<\/b><br \/>\nThe first term of an arithmetic sequence is 3. The common difference of the sequence is 1.5 times the first term. Write the next three terms of the sequence. Then graph the sequence.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41874\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-41.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 41\" width=\"433\" height=\"427\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-41.png 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-41-300x296.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/p>\n<p>Question 42.<br \/>\n<b>NUMBER SENSE<\/b><br \/>\nThe first row of a dominoes display has 10 dominoes. Each row after the first has two more dominoes than the row before it. Write the first five terms of the sequence that represents the number of dominoes in each row. Then graph the sequence.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37183\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-127.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 127\" width=\"384\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-127.png 384w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-127-300x109.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><br \/>\nAnswer:<\/p>\n<p><b>REPEATED REASONING<br \/>\nIn Exercises 43 and 44, (a) draw the next three figures in the sequence and (b) describe the 20th figure in the sequence.<\/b><\/p>\n<p>Question 43.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37184\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-128.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 128\" width=\"312\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-128.png 312w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-128-300x90.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41875\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-43.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 43\" width=\"592\" height=\"243\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-43.png 592w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-43-300x123.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Question 44.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37185\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-129.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 129\" width=\"300\" height=\"95\" \/><br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe total number of babies born in a country each minute after midnight January 1st can be estimated by the sequence shown in the table. (See Example 5.)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37186\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-130.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 130\" width=\"323\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-130.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-130-300x73.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\na. Write a function that represents the arithmetic sequence.<br \/>\nb. Graph the function.<br \/>\nc. Estimate how many minutes after midnight January 1st it takes for 100 babies to be born.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41876\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-45.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 45.1\" width=\"525\" height=\"555\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-45.1.png 525w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-45.1-284x300.png 284w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41877\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-45.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 45.2\" width=\"504\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-45.2.png 504w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-45.2-300x119.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p>Question 46.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe amount of money a movie earns each week after its release can be approximated by the sequence shown in the graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37187\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-131.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 131\" width=\"204\" height=\"205\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-131.png 204w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-131-150x150.png 150w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><br \/>\na. Write a function that represents the arithmetic sequence.<br \/>\nb. In what week does the movie earn $16 million?<br \/>\nc. How much money does the movie earn overall?<br \/>\nAnswer:<\/p>\n<p><b>MATHEMATICAL CONNECTIONS<br \/>\nIn Exercises 47 and 48, each small square represents 1 square inch. Determine whether the areas of the figures form an arithmetic sequence. If so, write a function f that represents the arithmetic sequence and find f(30).<\/b><\/p>\n<p>Question 47.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37188\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-132.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 132\" width=\"272\" height=\"114\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41878\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-47.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 47\" width=\"565\" height=\"538\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-47.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-47-300x286.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 48.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37189\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-133.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 133\" width=\"280\" height=\"121\" \/><br \/>\nAnswer:<\/p>\n<p>Question 49.<br \/>\n<b>REASONING<\/b><br \/>\nIs the domain of an arithmetic sequence discrete or continuous? Is the range of an arithmetic sequence discrete or continuous?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41879\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-49.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 49\" width=\"540\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-49.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-49-300x48.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>Question 50.<br \/>\n<b>MAKING AN ARGUMENT<\/b><br \/>\nYour friend says that the range of a function that represents an arithmetic sequence always contains only positive numbers or only negative numbers. Your friend claims this is true because the domain is the set of positive integers and the output values either constantly increase or constantly decrease. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 51.<br \/>\n<b>OPEN-ENDED<\/b><br \/>\nWrite the first four terms of two different arithmetic sequences with a common difference of -3. Write an equation for the nth term of each sequence.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41880\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-51.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 51\" width=\"605\" height=\"627\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-51.png 605w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-51-289x300.png 289w\" sizes=\"(max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>Question 52.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nDescribe an arithmetic sequence that models the numbers of people in a real-life situation.<br \/>\nAnswer:<\/p>\n<p>Question 53.<br \/>\n<b>REPEATED REASONING<\/b><br \/>\nFirewood is stacked in a pile. The bottom row has 20 logs, and the top row has 14 logs. Each row has one more log than the row above it. How many logs are in the pile?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41881\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-53.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 53\" width=\"420\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-53.png 420w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-53-300x49.png 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><\/p>\n<p>Question 54.<br \/>\n<b>HOW DO YOU SEE IT?<\/b><br \/>\nThe bar graph shows the costs of advertising in a magazine.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37190\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-134.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 134\" width=\"287\" height=\"187\" \/><br \/>\na. Does the graph represent an arithmetic sequence? Explain.<br \/>\nb. Explain how you would estimate the cost of a six-page advertisement in the magazine.<br \/>\nAnswer:<\/p>\n<p>Question 55.<br \/>\n<b>REASONING<\/b><br \/>\nWrite a function f that represents the arithmetic sequence shown in the mapping diagram.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37193\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-135.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 135\" width=\"121\" height=\"86\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41882\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-55.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 55\" width=\"516\" height=\"417\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-55.png 516w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-55-300x242.png 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Question 56.<br \/>\n<b>PROBLEM SOLVING<\/b><br \/>\nA train stops at a station every 12 minutes starting at 6:00 A.M. You arrive at the station at 7:29 A.M. How long must you wait for the train?<br \/>\nAnswer:<\/p>\n<p>Question 57.<br \/>\n<b>ABSTRACT REASONING<\/b><br \/>\nLet x be a constant. Determine whether each sequence is an arithmetic sequence. Explain.<br \/>\na. x + 6, 3x + 6, 5x + 6, 7x + 6, . . .<br \/>\nb. x + 1, 3x + 1, 9x + 1, 27x + 1, . . .<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41883\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-57.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 57.1\" width=\"569\" height=\"408\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-57.1.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-57.1-300x215.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41884\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-57.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 57.2\" width=\"527\" height=\"405\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-57.2.png 527w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-57.2-300x231.png 300w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Solve the inequality. Graph the solution.<\/b> (Section 2.2)<\/p>\n<p>Question 58.<br \/>\nx + 8 \u2265 -9<br \/>\nAnswer:<\/p>\n<p>Question 59.<br \/>\n15 &lt; b &#8211; 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41885\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-59.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 59\" width=\"365\" height=\"189\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-59.png 365w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-59-300x155.png 300w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><\/p>\n<p>Question 60.<br \/>\nt &#8211; 21 &lt; -12<br \/>\nAnswer:<\/p>\n<p>Question 61.<br \/>\n7 + y \u2264 3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41886\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-61.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 61\" width=\"362\" height=\"184\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-61.png 362w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-61-300x152.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/p>\n<p>Graph the function. Compare the graph to the graph of f(x) = | x |. Describe the domain and range. (Section 3.7)<\/p>\n<p>Question 62.<br \/>\nh(x) = 3 | x |<br \/>\nAnswer:<\/p>\n<p>Question 63.<br \/>\nv(x) = | x &#8211; 5 |<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41887\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-63.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 63\" width=\"598\" height=\"445\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-63.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-63-300x223.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><\/p>\n<p>Question 64.<br \/>\ng(x) = | x | + 1<br \/>\nAnswer:<\/p>\n<p>Question 65.<br \/>\nr(x) = -2 | x |<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41888\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-65.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.6 Question 65\" width=\"577\" height=\"466\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-65.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.6-Question-65-300x242.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<h3><a id=\"Lesson_4.7_Piecewise_Functions\"><\/a>Lesson 4.7 Piecewise Functions<\/h3>\n<p><b>Essential Question\u00a0<\/b><\/p>\n<p>How can you describe a function that is represented by more than on equation?<\/p>\n<p><b>EXPLORATION 1<br \/>\nWriting Equations for a Function<br \/>\nWork with a partner.<\/b><br \/>\na. Does the graph represent y as a function of x? Justify your conclusion.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37191\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-135.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 135.1\" width=\"220\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-135.1.png 220w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-135.1-150x150.png 150w\" sizes=\"(max-width: 220px) 100vw, 220px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37192\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-135.4.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 135.4\" width=\"219\" height=\"194\" \/><br \/>\nb. What is the value of the function when x = 0? How can you tell?<br \/>\nc. Write an equation that represents the values of the function when x \u2264 0.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37194\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-136.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 136\" width=\"191\" height=\"32\" \/><br \/>\nd. Write an equation that represents the values of the function when x &gt; 0.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37195\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-137.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 137\" width=\"176\" height=\"33\" \/><br \/>\ne. Combine the results of parts (c) and (d) to write a single description of the function.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37196\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-138.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 138\" width=\"196\" height=\"62\" \/><\/p>\n<p><b>EXPLORATION 2<br \/>\nWriting Equations for a Function<br \/>\nWork with a partner.<\/b><br \/>\na. Does the graph represent y as a function of x? Justify your conclusion.<br \/>\nb. Describe the values of the function for the following intervals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37197\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-139.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 139\" width=\"230\" height=\"221\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37198\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-140.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 140\" width=\"249\" height=\"105\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 3.<br \/>\nHow can you describe a function that is represented by more than one equation?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37199\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-141.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 141\" width=\"230\" height=\"220\" \/><\/p>\n<p>Question 4.<br \/>\nUse two equations to describe the function represented by the graph.<\/p>\n<p><b>4.7 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p><b>Evaluate the function.<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37200\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-142.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 142\" width=\"198\" height=\"69\" \/><\/p>\n<p>Question 1.<br \/>\nf(-8)<\/p>\n<p>Question 2.<br \/>\nf(-2)<\/p>\n<p>Question 3.<br \/>\nf(0)<\/p>\n<p>Question 4.<br \/>\nf(3)<\/p>\n<p>Question 5.<br \/>\nf(5)<\/p>\n<p>Question 6.<br \/>\nf(10)<\/p>\n<p><b>Describe the domain and range.<\/b><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37201\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-143.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 143\" width=\"141\" height=\"49\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37202\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-144.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 144\" width=\"141\" height=\"45\" \/><\/p>\n<p><b>Write a piecewise function for the graph.<\/b><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37203\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-145.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 145\" width=\"192\" height=\"150\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37204\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-146.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 146\" width=\"193\" height=\"158\" \/><\/p>\n<p>Question 11.<br \/>\nA landscaper rents a wood chipper for 4 days. The rental company charges $100 for the first day and $50 for each additional day. Write and graph a step function that represents the relationship between the number x of days and the total cost y (in dollars) of renting the chipper.<\/p>\n<p>Question 12.<br \/>\n<b>WHAT IF?<\/b> The reference beam originates at (3, 0) and reflects off a mirror at (5, 4).<br \/>\na. Write an absolute value function that represents the path of the reference beam.<br \/>\nb. Write the function in part (a) as a piecewise function.<\/p>\n<h3><a id=\"Piecewise_Functions_4.7_Exercises\"><\/a>Piecewise Functions 4.7 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>VOCABULARY<\/b><br \/>\nCompare piecewise functions and step functions.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41889\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 1\" width=\"570\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-1.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-1-300x73.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 2.<br \/>\n<b>WRITING<\/b><br \/>\nUse a graph to explain why you can write the absolute value function y = | x | as a piecewise function.<br \/>\nAnswer:<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u201312, evaluate the function.<br \/>\n<\/b><img loading=\"lazy\" class=\"alignnone size-full wp-image-41695\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-500.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 500\" width=\"243\" height=\"124\" \/><\/p>\n<p>Question 3.<br \/>\nf(-3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41890\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 3\" width=\"342\" height=\"170\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-3.png 342w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-3-300x149.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><\/p>\n<p>Question 4.<br \/>\nf(-2)<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nf(0)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41891\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 5\" width=\"295\" height=\"136\" \/><\/p>\n<p>Question 6.<br \/>\nf(5)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\ng(-4)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41892\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 7\" width=\"314\" height=\"171\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-7.png 314w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-7-300x163.png 300w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><\/p>\n<p>Question 8.<br \/>\ng(-1)<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\ng(0)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 9\" width=\"298\" height=\"105\" \/><\/p>\n<p>Question 10.<br \/>\ng(1)<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\ng(2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 11\" width=\"322\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-11.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-11-300x166.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/p>\n<p>Question 12.<br \/>\ng(5)<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nOn a trip, the total distance (in miles) you travel in x hours is represented by the piecewise function<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37205\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-147.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 147\" width=\"221\" height=\"48\" \/><br \/>\nHow far do you travel in 4 hours?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41895\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 13\" width=\"412\" height=\"213\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-13.png 412w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-13-300x155.png 300w\" sizes=\"(max-width: 412px) 100vw, 412px\" \/><\/p>\n<p>Question 14.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe total cost (in dollars) of ordering x custom shirts is represented by the piecewise function<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37286\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-148.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 148\" width=\"244\" height=\"64\" \/><br \/>\nDetermine the total cost of ordering 26 shirts.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37285\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-148.1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 148.1\" width=\"297\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 15\u201320, graph the function. Describe the domain and range.<\/b><\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37287\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-149.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 149\" width=\"147\" height=\"43\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41896\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 15\" width=\"544\" height=\"441\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-15.png 544w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-15-300x243.png 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37288\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-150.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 150\" width=\"148\" height=\"50\" \/><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37289\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-151.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 151\" width=\"174\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41897\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 17\" width=\"499\" height=\"409\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-17.png 499w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-17-300x246.png 300w\" sizes=\"(max-width: 499px) 100vw, 499px\" \/><\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37290\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-152.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 152\" width=\"155\" height=\"48\" \/><br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37291\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-153.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 153\" width=\"199\" height=\"62\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41898\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 19\" width=\"624\" height=\"444\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-19.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-19-300x213.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37292\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-154.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 154\" width=\"189\" height=\"61\" \/><br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in finding f(5) when <img loading=\"lazy\" class=\"alignnone size-full wp-image-37293\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-155.1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 155.1\" width=\"164\" height=\"44\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37294\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-155.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 155\" width=\"217\" height=\"80\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41899\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 21\" width=\"544\" height=\"171\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-21.png 544w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-21-300x94.png 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/p>\n<p>Question 22.<br \/>\n<b>ERROR ANALYSIS<\/b><br \/>\nDescribe and correct the error in graphing <img loading=\"lazy\" class=\"alignnone size-full wp-image-37295\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-157.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 157\" width=\"154\" height=\"42\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-157.png 154w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-157-150x42.png 150w\" sizes=\"(max-width: 154px) 100vw, 154px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37296\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-158.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 158\" width=\"322\" height=\"221\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-158.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-158-300x206.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 23\u201330, write a piecewise function for the graph.<\/b><\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37297\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-159.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 159\" width=\"139\" height=\"129\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41901\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 23\" width=\"391\" height=\"368\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-23.png 391w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-23-300x282.png 300w\" sizes=\"(max-width: 391px) 100vw, 391px\" \/><\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37298\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-160.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 160\" width=\"140\" height=\"133\" \/><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37299\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-161.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 161\" width=\"131\" height=\"130\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41902\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-25.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 25.1\" width=\"425\" height=\"410\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-25.1.png 425w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-25.1-300x289.png 300w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-25.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 25.2\" width=\"390\" height=\"339\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-25.2.png 390w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-25.2-300x261.png 300w\" sizes=\"(max-width: 390px) 100vw, 390px\" \/><\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37300\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-162.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 162\" width=\"142\" height=\"140\" \/><br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37301\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-163.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 163\" width=\"134\" height=\"134\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41904\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-27.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 27.1\" width=\"420\" height=\"627\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-27.1.png 420w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-27.1-201x300.png 201w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41905\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-27.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 27.2\" width=\"350\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-27.2.png 350w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-27.2-300x103.png 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/p>\n<p>Question 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37302\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-164.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 164\" width=\"142\" height=\"135\" \/><br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37303\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-165.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 165\" width=\"131\" height=\"135\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41906\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-29.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 29.1\" width=\"308\" height=\"115\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-29.1.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-29.1-300x112.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/p>\n<p>Question 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37304\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-166.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 166\" width=\"135\" height=\"139\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 31\u201334, graph the step function. Describe the domain and range.<\/b><\/p>\n<p>Question 31.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37305\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-167.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 167\" width=\"169\" height=\"78\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41907\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-31.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 31\" width=\"277\" height=\"303\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-31.png 277w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-31-274x300.png 274w\" sizes=\"(max-width: 277px) 100vw, 277px\" \/><\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37306\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-168.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 168\" width=\"186\" height=\"79\" \/><br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37307\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-169.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 169\" width=\"177\" height=\"84\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41908\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 33\" width=\"275\" height=\"309\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-33.png 275w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-33-267x300.png 267w\" sizes=\"(max-width: 275px) 100vw, 275px\" \/><\/p>\n<p>Question 34.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37308\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-170.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 170\" width=\"203\" height=\"86\" \/><br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe cost to join an intramural sports league is $180 per team and includes the first five team members. For each additional team member, there is a $30 fee. You plan to have nine people on your team. Write and graph a step function that represents the relationship between the number p of people on your team and the total cost of joining the league.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41909\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-35.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 35.1\" width=\"536\" height=\"291\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-35.1.png 536w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-35.1-300x163.png 300w\" sizes=\"(max-width: 536px) 100vw, 536px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41910\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-35.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 35.2\" width=\"417\" height=\"369\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-35.2.png 417w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-35.2-300x265.png 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<p>Question 36.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nThe rates for a parking garage are shown. Write and graph a step function that represents the relationship between the number x of hours a car is parked in the garage and the total cost of parking in the garage for 1 day.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37309\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-171.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 171\" width=\"251\" height=\"134\" \/><br \/>\nAnswer:<\/p>\n<p><b>In Exercises 37\u201346, write the absolute value function as a piecewise function.<\/b><\/p>\n<p>Question 37.<br \/>\ny = | x | + 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41911\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-37.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 37\" width=\"379\" height=\"98\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-37.png 379w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-37-300x78.png 300w\" sizes=\"(max-width: 379px) 100vw, 379px\" \/><\/p>\n<p>Question 38.<br \/>\ny = | x | &#8211; 3<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\ny = | x &#8211; 2 |<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41912\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-39.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 39\" width=\"573\" height=\"265\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-39.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-39-300x139.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Question 40.<br \/>\ny = | x + 5 |<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\ny = 2 | x + 3 |<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41913\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-41.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 41\" width=\"426\" height=\"442\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-41.png 426w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-41-289x300.png 289w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><\/p>\n<p>Question 42.<br \/>\ny = 4 | x &#8211; 1 |<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\ny = -5 | x &#8211; 8 |<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41914\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-43.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 43\" width=\"433\" height=\"452\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-43.png 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-43-287x300.png 287w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/p>\n<p>Question 44.<br \/>\ny = -3 | x + 6 |<br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\ny = &#8211; | x &#8211; 3 | + 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41915\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-45.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 45\" width=\"479\" height=\"432\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-45.png 479w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-45-300x271.png 300w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p>Question 46.<br \/>\ny = 7| x + 1 | &#8211; 5<br \/>\nAnswer:<\/p>\n<p>Question 47.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nYou are sitting on a boat on a lake. You can get a sunburn from the sunlight that hits you directly and also from the sunlight that reflects off the water.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37310\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-172.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 172\" width=\"313\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-172.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-172-300x182.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><br \/>\na. Write an absolute value function that represents the path of the sunlight that reflects off the water.<br \/>\nb. Write the function in part (a) as a piecewise function.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41916\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-47.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 47.1\" width=\"538\" height=\"288\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-47.1.png 538w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-47.1-300x161.png 300w\" sizes=\"(max-width: 538px) 100vw, 538px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41917\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-47.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 47.2\" width=\"486\" height=\"431\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-47.2.png 486w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-47.2-300x266.png 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/p>\n<p>Question 48.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nYou are trying to make a hole in one on the miniature golf green.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37311\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-173.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 173\" width=\"270\" height=\"141\" \/><br \/>\na. Write an absolute value function that represents the path of the golf ball.<br \/>\nb. Write the function in part (a) as a piecewise function.<br \/>\nAnswer:<\/p>\n<p>Question 49.<br \/>\n<b>REASONING<\/b><br \/>\nThe piecewise function f consists of two linear \u201cpieces.\u201d The graph of f is shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37312\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-174.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 174\" width=\"171\" height=\"140\" \/><br \/>\na. What is the value of f(-10)?<br \/>\nb. What is the value of f(8)?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41918\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-49.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 49.1\" width=\"489\" height=\"594\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-49.1.png 489w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-49.1-247x300.png 247w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41919\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-49.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 49.2\" width=\"479\" height=\"472\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-49.2.png 479w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-49.2-300x296.png 300w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p>Question 50.<br \/>\n<b>CRITICAL THINKING<\/b><br \/>\nDescribe how the graph of each piecewise function changes when &lt; is replaced with \u2264 and \u2265 is replaced with &gt;. Do the domain and range change? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37313\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-175.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 175\" width=\"204\" height=\"105\" \/><br \/>\nAnswer:<\/p>\n<p>Question 51.<br \/>\n<b>USING STRUCTURE Graph<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37314\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-176.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 176\" width=\"172\" height=\"50\" \/><br \/>\nDescribe the domain and range.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41920\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-51.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 51.1\" width=\"368\" height=\"456\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-51.1.png 368w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-51.1-242x300.png 242w\" sizes=\"(max-width: 368px) 100vw, 368px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41921\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-51.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 51.2\" width=\"314\" height=\"308\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-51.2.png 314w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-51.2-300x294.png 300w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><\/p>\n<p>Question 52.<br \/>\n<b>HOW DO YOU SEE IT?<\/b> The graph shows the total cost C of making x photocopies at a copy shop.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37206\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-4-Writing-Linear-Functions-177.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 4 Writing Linear Functions 177\" width=\"252\" height=\"218\" \/><br \/>\na. Does it cost more money to make 100 photocopies or 101 photocopies? Explain.<br \/>\nb. You have $40 to make photocopies. Can you buy more than 500 photocopies? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 53.<br \/>\n<b>USING STRUCTURE<\/b><br \/>\nThe output y of the greatest integer function is the greatest integer less than or equal to the input value x. This function is written as <img loading=\"lazy\" class=\"alignnone size-full wp-image-37381\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-204.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 204\" width=\"72\" height=\"20\" \/>. Graph the function for -4 \u2264 x &lt; 4. Is it a piecewise function? a step function? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41922\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-53.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 53.1\" width=\"284\" height=\"634\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-53.1.png 284w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-53.1-134x300.png 134w\" sizes=\"(max-width: 284px) 100vw, 284px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41923\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-53.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 53.2\" width=\"591\" height=\"201\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-53.2.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-53.2-300x102.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 54.<br \/>\n<b>THOUGHT PROVOKING<\/b><br \/>\nExplain why<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37382\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-205.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 205\" width=\"187\" height=\"56\" \/><br \/>\ndoes not represent a function. How can you redefine y so that it does represent a function?<br \/>\nAnswer:<\/p>\n<p>Question 55.<br \/>\n<b>MAKING AN ARGUMENT<\/b><br \/>\nDuring a 9-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, 2 inches per hour for the next 6 hours, and 1 inch per hour for the final hour.<br \/>\na. Write and graph a piecewise function that represents the depth of the snow during the snowstorm.<br \/>\nb. Your friend says 12 inches of snow accumulated during the storm. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41924\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-55.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 55.1\" width=\"564\" height=\"503\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-55.1.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-55.1-300x268.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41925\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-55.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 55.2\" width=\"598\" height=\"401\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-55.2.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-55.2-300x201.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Write the sentence as an inequality. Graph the inequality.<\/b>(Section 2.5)<\/p>\n<p>Question 56.<br \/>\nA number r is greater than -12 and no more than 13.<br \/>\nAnswer:<\/p>\n<p>Question 57.<br \/>\nA number t is less than or equal to 4 or no less than 18.Graph f and h. Describe the transformations from the graph of f to the graph of h.(Section 3.6)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41926\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-57.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 57\" width=\"489\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-57.png 489w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-57-300x90.png 300w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><\/p>\n<p>Question 58.<br \/>\nf(x) = x; h(x) = 4x + 3<br \/>\nAnswer:<\/p>\n<p>Question 59.<br \/>\nf(x) = x; h(x) = -x &#8211; 8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41927\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-59.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions 4.7 Question 59\" width=\"575\" height=\"301\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-59.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions-4.7-Question-59-300x157.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 60.<br \/>\nf(x) = x; h(x) = &#8211;\\(\\frac{1}{2}\\) + 5<br \/>\nAnswer:<\/p>\n<h3><a id=\"Writing_Linear_Functions_Performance_Task:_Any_Beginning\"><\/a>Writing Linear Functions Performance Task: Any Beginning<\/h3>\n<p><b>4.4\u20134.7 What Did You Learn?<\/b><\/p>\n<p><b>Core Vocabulary<\/b><\/p>\n<p><b>Section 4.4<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37316\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-179.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 179\" width=\"591\" height=\"46\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-179.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-179-300x23.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p><b>Section 4.5<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37315\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-178.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 178\" width=\"156\" height=\"47\" \/><\/p>\n<p><b>Section 4.6<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37318\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-181.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 181\" width=\"601\" height=\"31\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-181.png 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-181-300x15.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><\/p>\n<p><b>Section 4.7<\/b><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37319\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-182.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 182\" width=\"586\" height=\"45\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-182.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-182-300x23.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p><b>Mathematical Practices<\/b><\/p>\n<p>Question 1.<br \/>\nWhat resources can you use to help you answer Exercise 17 on page 200?<\/p>\n<p>Question 2.<br \/>\nWhat calculations are repeated in Exercises 11\u201316 on page 214? When finding a term such as a<sub>50<\/sub>, is there a general method or shortcut you can use instead of repeating calculations?<\/p>\n<p>Question 3.<br \/>\nDescribe the definitions you used when you explained your answer in Exercise 53 on page 224.<\/p>\n<p><b>Performance Task<\/b><\/p>\n<p><b>Any Beginning<\/b><br \/>\nWith so many ways to represent a linear relationship, where do you start? Use what you know to move between equations, graphs, tables, and contexts.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37320\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-183.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 183\" width=\"348\" height=\"254\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-183.png 348w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-183-300x219.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><br \/>\nTo explore the answers to this question and more, go to <img loading=\"lazy\" class=\"alignnone size-full wp-image-37384\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-206.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 206\" width=\"93\" height=\"93\" \/><\/p>\n<h3><a id=\"Writing_Linear_Functions_Chapter_Review\"><\/a>Writing Linear Functions Chapter Review<\/h3>\n<p>Question 1.<br \/>\nWrite an equation of the line in slope-intercept form.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37385\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-207.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 207\" width=\"188\" height=\"179\" \/><\/p>\n<p>Question 2.<br \/>\nWrite an equation in point-slope form of the line that passes through the point (4, 7) and has a slope of -1.<\/p>\n<p><b>Write a linear function f with the given values.<\/b><\/p>\n<p>Question 3.<br \/>\nf(10) = 5, f(2) = -3<\/p>\n<p>Question 4.<br \/>\nf(3) = -4, f(5) = -4<\/p>\n<p>Question 5.<br \/>\nf(6) = 8, f(9) = 3<\/p>\n<p>Question 6.<br \/>\nLine a passes through (0, 4) and (4, 3).<br \/>\nLine b passes through (0, 1) and (4, 0).<br \/>\nLine c passes through (2, 0) and (4, 4).<\/p>\n<p>Question 7.<br \/>\nLine a: 2x &#8211; 7y = 14<br \/>\nLine b: y = \\(\\frac{7}{2}\\)x &#8211; 8<br \/>\nLine c: 2x + 7y = -21<\/p>\n<p>Question 8.<br \/>\nWrite an equation of the line that passes through (1, 5) and is parallel to the line y = -4x + 2.<\/p>\n<p>Question 9.<br \/>\nWrite an equation of the line that passes through (2, -3) and is perpendicular to the line y = -2x &#8211; 3<\/p>\n<p>Question 10.<br \/>\nWhat is the roasting time for a 12-pound turkey?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37322\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-185.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 185\" width=\"214\" height=\"243\" \/><\/p>\n<p>Question 11.<br \/>\nWrite an equation that models the roasting time as a function of the weight of a turkey. Interpret the slope and y-intercept of the line of fit.<\/p>\n<p>Question 12.<br \/>\nMake a scatter plot of the residuals to verify that the model in the example is a good fit.<\/p>\n<p>Question 13.<br \/>\nUse the data in the example.<br \/>\n(a) Approximate the height of a student whose shoe size is 9.<br \/>\n(b) Predict the shoe size of a student whose height is 60 inches.<\/p>\n<p>Question 14.<br \/>\nIs there a causal relationship in the data in the example? Explain.<\/p>\n<p><b>write an equation for the nth term of the arithmetic sequence. Then find a<sub>30<\/sub>.<\/b><\/p>\n<p>Question 15.<br \/>\n11, 10, 9, 8, &#8230;..<\/p>\n<p>Question 16.<br \/>\n6, 12, 18, 24,&#8230;.<\/p>\n<p>Question 17.<br \/>\n-9, -6, -3, 0,&#8230;.<\/p>\n<p>Question 18.<br \/>\nEvaluate the function in the example when (a) x = 0 and (b) x = 5.<\/p>\n<p><b>Graph the function. Describe the domain and range.<\/b><\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37323\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-186.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 186\" width=\"148\" height=\"46\" \/><\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37324\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-187.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 187\" width=\"162\" height=\"46\" \/><\/p>\n<p><b>Write the absolute value function as a piecewise function.<\/b><\/p>\n<p>Question 21.<br \/>\ny =| x | + 15<\/p>\n<p>Question 22.<br \/>\ny = 4| x + 5 |<\/p>\n<p>Question 23.<br \/>\ny = 2 | x + 2 | &#8211; 3<\/p>\n<p>Question 24.<br \/>\nYou are organizing a school fair and rent a popcorn machine for 3 days. The rental company charges $65 for the first day and $35 for each additional day. Write and graph a step function that represents the relationship between the number x of days and the total cost y (in dollars) of renting the popcorn machine.<\/p>\n<h3><a id=\"Writing_Linear_Functions_Chapter_Test\"><\/a>Writing Linear Functions Chapter Test<\/h3>\n<p><b>Graph the function. Describe the domain and range.<\/b><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37325\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-188.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 188\" width=\"160\" height=\"68\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37326\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-189.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 189\" width=\"167\" height=\"90\" \/><\/p>\n<p><b>Write an equation in slope-intercept form of the line with the given characteristics.<\/b><\/p>\n<p>Question 3.<br \/>\nslope = \\(\\frac{2}{5}\\) ; y-intercept = -7<\/p>\n<p>Question 4.<br \/>\npasses through (0, 6) and (3, -3)<\/p>\n<p>Question 5.<br \/>\nparallel to the line y = 3x &#8211; 1; passes through (-2, -8)<\/p>\n<p>Question 6.<br \/>\nperpendicular to the line y = \\(\\frac{1}{4}\\)x &#8211; 9; passes through (1, 1)<\/p>\n<p><b>Write an equation in point-slope form of the line with the given characteristics.<\/b><\/p>\n<p>Question 7.<br \/>\nslope = 10; passes through (6, 2)<\/p>\n<p>Question 8.<br \/>\npasses through (-3, 2) and (6, -1)<\/p>\n<p>Question 9.<br \/>\nThe first row of an auditorium has 42 seats. Each row after the first has three more seats than the row before it.<br \/>\na. Find the number of seats in Row 25.<br \/>\nb. Which row has 90 seats?<\/p>\n<p>Question 10.<br \/>\nThe table shows the amount x (in dollars) spent on advertising for a neighborhood festival and the attendance y of the festival for several years.<br \/>\na. Make a scatter plot of the data. Describe the correlation.<br \/>\nb. Write an equation that models the attendance as a function of the amount spent on advertising.<br \/>\nc. Interpret the slope and y-intercept of the line of fit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37327\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-190.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 190\" width=\"238\" height=\"248\" \/><\/p>\n<p>Question 11.<br \/>\nConsider the data in the table in Exercise 10.<br \/>\na. Use a graphing calculator to find an equation of the line of best fit.<br \/>\nb. Identify and interpret the correlation coefficient.<br \/>\nc. What would you expect the scatter plot of the residuals to look like?<br \/>\nd. Is there a causal relationship in the data? Explain your reasoning.<br \/>\ne. Predict the amount that must be spent on advertising to get 2000 people to attend the festival.<\/p>\n<p>Question 12.<br \/>\nLet a, b, c, and d be constants. Determine which of the lines, if any, are parallel or perpendicular. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37328\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-191.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 191\" width=\"473\" height=\"33\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-191.png 473w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-191-300x21.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><\/p>\n<p>Question 13.<br \/>\nWrite a piecewise function defined by three equations that has a domain of all real numbers and a range of -3 &lt; y \u2264 1.<\/p>\n<h3><a id=\"Writing_Linear_Functions_Cumulative_Assessment\"><\/a>Writing Linear Functions Cumulative Assessment<\/h3>\n<p>Question 1.<br \/>\nWhich function represents the arithmetic sequence shown in the graph?<br \/>\nA. f(n) = 15 + 3n<br \/>\nB. f(n) = 4 &#8211; 3<br \/>\nC. f(n) = 27 &#8211; 3n<br \/>\nD. f(n) = 24 &#8211; 3n<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37329\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-192.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 192\" width=\"186\" height=\"174\" \/><\/p>\n<p>Question 2.<br \/>\nWhich of the inequalities are equivalent?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37330\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-193.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 193\" width=\"566\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-193.png 566w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-193-300x34.png 300w\" sizes=\"(max-width: 566px) 100vw, 566px\" \/><\/p>\n<p>Question 3.<br \/>\nComplete the table for the four situations below. Explain your reasoning.<br \/>\na. the price of a pair of pants and the number sold<br \/>\nb. the number of cell phones and the number of taxis in a city<br \/>\nc. a person\u2019s IQ and the time it takes the person to run 50 meters<br \/>\nd. the amount of time spent studying and the score earned<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37331\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-194.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 194\" width=\"333\" height=\"163\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-194.png 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-194-300x147.png 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><\/p>\n<p>Question 4.<br \/>\nConsider the function f(x) = x &#8211; 1. Select the functions that are shown in the graph. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37332\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-195.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 195\" width=\"504\" height=\"197\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-195.png 504w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-195-300x117.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p>Question 5.<br \/>\nUse the numbers to fill in values for m and b in the equation y = mx + b so that its graph passes through the points (6, 1) and (-2, -3).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37333\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-196.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 196\" width=\"409\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-196.png 409w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-196-300x41.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><\/p>\n<p>Question 6.<br \/>\nFill in the piecewise function with -, +, &lt;, \u2264, &gt;, or \u2265 so that the function is represented by the graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37334\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-197.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 197\" width=\"200\" height=\"74\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37335\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-198.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 198\" width=\"201\" height=\"199\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-198.png 201w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-198-150x150.png 150w\" sizes=\"(max-width: 201px) 100vw, 201px\" \/><\/p>\n<p>Question 7.<br \/>\nYou claim that you can create a relation that is a function, and your friend claims that she can create a relation that is not a function. Using the given numbers, create a relation of five ordered pairs that supports your claim. What relation of five ordered pairs can your friend use to support her claim?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37336\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-199.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 199\" width=\"472\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-199.png 472w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-199-300x34.png 300w\" sizes=\"(max-width: 472px) 100vw, 472px\" \/><\/p>\n<p>Question 8.<br \/>\nYou have two coupons you can use at a restaurant. Write and solve an equation to determine how much your total bill must be for both coupons to save you the same amount of money.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37337\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-200.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 200\" width=\"539\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-200.png 539w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-200-300x82.png 300w\" sizes=\"(max-width: 539px) 100vw, 539px\" \/><\/p>\n<p>Question 9.<br \/>\nThe table shows the daily high temperatures x (in degrees Fahrenheit) and the numbers y of frozen fruit bars sold on eight randomly selected days. The equation y = 3x &#8211; 50 models the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37338\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-201.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 201\" width=\"463\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-201.png 463w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-201-300x47.png 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><br \/>\na. Select the points that appear on a scatter plot of the residuals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37339\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-202.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 4 Writing Linear Functions 202\" width=\"478\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-202.png 478w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-4-Writing-Linear-Functions-202-300x61.png 300w\" sizes=\"(max-width: 478px) 100vw, 478px\" \/><br \/>\nb. Determine whether the model is a good fit for the data. Explain your reasoning.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Need instant homework help or assignment help while solving the Algebra 1 Questions? Then, Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions guide is the perfect one to overcome your hurdles. Based on the common core standards, our subject experts prepared this BIM Math Algebra 1 Solution key for Chapter 4 Writing &#8230; <a title=\"Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers-chapter-4\/\" aria-label=\"More on Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":89201,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-4-Writing-Linear-Functions.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/36748"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=36748"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/36748\/revisions"}],"predecessor-version":[{"id":90390,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/36748\/revisions\/90390"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89201"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=36748"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=36748"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=36748"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}