{"id":5210,"date":"2022-03-26T12:33:39","date_gmt":"2022-03-26T07:03:39","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=5210"},"modified":"2022-04-07T12:24:10","modified_gmt":"2022-04-07T06:54:10","slug":"go-math-grade-6-answer-key-chapter-9-independent-and-dependent-variables","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-6-answer-key-chapter-9-independent-and-dependent-variables\/","title":{"rendered":"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables"},"content":{"rendered":"<p>Download <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-6-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 6 Answer Key<\/a> Chapter 9 Independent and Dependent Variables pdf for free of cost. It is very important for the students to learn the fundamentals at the secondary level. In order to help you guys, we are providing the answers to all the questions in HMH Go Math Grade 6 Chapter 9 Solution Key Independent and Dependent Variables.<\/p>\n<h2>Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables<\/h2>\n<p>The Independent and Dependent Variables chapter consists of the topics like equations and tables, analyze relationships, graphs etc. It is essential for students to know the relationship between the graphs and tables in this chapter. You can know different methods of solving the problems by using Go Math Grade 6 Solution Key Chapter 9 Independent and Dependent Variables. All you have to do is to tap the below-given links.<\/p>\n<p><strong>Lesson 1: Independent and Dependent Variables<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_493\">Share and Show &#8211; Page No. 493<\/a><\/li>\n<li><a href=\"#Unlock_the_Problem_Page_No_494\">Unlock the Problem &#8211; Page No. 494<\/a><\/li>\n<li><a href=\"#Independent_and_Dependent_Variables_Page_No_495\">Independent and Dependent Variables &#8211; Page No. 495<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_496\">Lesson Check &#8211; Page No. 496<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Equations and Tables<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_499\">Share and Show &#8211; Page No. 499<\/a><\/li>\n<li><a href=\"#Cause_and_Effect_Page_No_500\">Cause and Effect &#8211; Page No. 500<\/a><\/li>\n<li><a href=\"#Equations_and_Tables_Page_No_501\">Equations and Tables &#8211; Page No. 501<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_502\">Lesson Check &#8211; Page No. 502<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Problem Solving \u2022 Analyze Relationships<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_505\">Share and Show &#8211; Page No. 505<\/a><\/li>\n<li><a href=\"#On_Your_Own_Page_No_506\">On Your Own &#8211; Page No. 506<\/a><\/li>\n<li><a href=\"#Problem_Solving_Analyze_Relationships_Page_No_507\">Problem Solving Analyze Relationships &#8211; Page No. 507<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_508\">Lesson Check &#8211; Page No. 508<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_509\">Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 509<\/a><\/li>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_510\">Mid-Chapter Checkpoint &#8211; Page No. 510<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Graph Relationships<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_513\">Share and Show &#8211; Page No. 513<\/a><\/li>\n<li><a href=\"#Problem_Solving_+_Applications_Page_No_514\">Problem Solving + Applications &#8211; Page No. 514<\/a><\/li>\n<li><a href=\"#Graph_Relationships_Page_No_515\">Graph Relationships &#8211; Page No. 515<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_516\">Lesson Check &#8211; Page No. 516<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Equations and Graphs<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_519\">Share and Show &#8211; Page No. 519<\/a><\/li>\n<li><a href=\"#Problem_Solving_+_Applications_Page_No_520\">Problem Solving + Applications &#8211; Page No. 520<\/a><\/li>\n<li><a href=\"#Equations_and_Graphs_Page_No_521\">Equations and Graphs &#8211; Page No. 521<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_522\">Lesson Check &#8211; Page No. 522<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 9 Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Chapter_9_Review_Test_Page_No_523\">Chapter 9 Review\/Test &#8211; Page No. 523<\/a><\/li>\n<li><a href=\"#Chapter_9_Review_Test_Page_No_524\">Chapter 9 Review\/Test &#8211; Page No. 524<\/a><\/li>\n<li><a href=\"#Chapter_9_Review_Test_Page_No_525\">Chapter 9 Review\/Test &#8211; Page No. 525<\/a><\/li>\n<li><a href=\"#Chapter_9_Review_Test_Page_No_526\">Chapter 9 Review\/Test &#8211; Page No. 526<\/a><\/li>\n<li><a href=\"#Chapter_9_Review_Test_Page_No_527\">Chapter 9 Review\/Test &#8211; Page No. 527<\/a><\/li>\n<li><a href=\"#Chapter_9_Review_Test_Page_No_528\">Chapter 9 Review\/Test &#8211; Page No. 528<\/a><\/li>\n<\/ul>\n<h3><a id=\"Share_and_Show_Page_No_493\"><\/a>Share and Show &#8211; Page No. 493<\/h3>\n<p><strong>Identify the independent and dependent variables. Then write an equation to represent the relationship between them.<\/strong><\/p>\n<p>Question 1.<br \/>\nAn online store lets customers have their name printed on any item they buy. The total cost c in dollars is the price of the item p in dollars plus $3.99 for the name.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = p + $3.99<\/p>\n<p>Explanation:<br \/>\nThe independent variable is c, the price of the item because it is not going to depend on anything else.<br \/>\nThe dependent variable is p because the total cost depends on how many items there are, whether your name is marked on it, etc.<br \/>\nThe equation would be:<br \/>\nc = p + $3.99<\/p>\n<p>Question 2.<br \/>\nA raft travels downriver at a rate of 6 miles per hour. The total distance d in miles that the raft travels is equal to the rate times the number of hours h.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: d = 6 \u00d7 h<\/p>\n<p>Explanation:<br \/>\nSpeed of the raft= 6 miles per hour<br \/>\nTotal distance (d) of the raft = rate \u00d7 number of hours h<br \/>\nThe dependent variable is the number of hours h<br \/>\nThe independent variable is distance d.<br \/>\nThe equation would be:<br \/>\nd = 6 \u00d7 h<\/p>\n<p>Question 3.<br \/>\nApples are on sale for $1.99 a pound. Sheila buys p pounds of apples for a total cost of c dollars.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = p \u00d7 $1.99<\/p>\n<p>Explanation:<br \/>\nApples are on sale for $1.99 a pound<br \/>\np = pounds of apples<br \/>\nc = total cost of dollars<br \/>\nThe equation would be:<br \/>\nc = p \u00d7 $1.99<br \/>\nc is the independent variable.<br \/>\np is the dependent variable.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Identify the independent and dependent variables. Then write an equation to represent the relationship between them.<\/strong><\/p>\n<p>Question 4.<br \/>\nSean can make 8 paper birds in an hour. The total number of birds b is equal to the number of birds he makes per hour times the number of hours h.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: b = 8h<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nSean can make 8 paper birds in an hour.<br \/>\nThe total number of birds b is equal to the number of birds he makes per hour times the number of hours h.<br \/>\nb = number of birds<br \/>\nh = number of hours<br \/>\nThe equation would be:<br \/>\nb = 8 \u00d7 h<br \/>\nb is the independent variable.<br \/>\nh is the dependent variable.<\/p>\n<p>Question 5.<br \/>\nBilly has $25. His father is going to give him more money. The total amount t Billy will have is equal to the amount m his father gives him plus the $25 Billy already has.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: t = m + $25<\/p>\n<p>Explanation:<br \/>\nBilly has $25. His father is going to give him more money.<br \/>\nThe total amount t Billy will have is equal to the amount m his father gives him plus the $25 Billy already has.<br \/>\nThe equation would be:<br \/>\nt = m + $25<br \/>\nt is the independent variable<br \/>\nm is the dependent variable.<\/p>\n<p>Question 6.<br \/>\nConnect Symbols and Words Describe a situation that can be represented by the equation c = 12b.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nMelinda is making necklaces. She uses 12 beads for each necklace. The total number of beads b depends on the cost of the necklace c.<br \/>\nThe equation is c = 12n<\/p>\n<p>Question 7.<br \/>\nBelinda pays $4.25 for each glass she buys. The total cost c is equal to the price per glass times the number of glasses n plus $9.95 for shipping and handling. Write an equation and use it to find how much it will cost Belinda to buy 12 glasses.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nBelinda pays $4.25 for each glass she buys. The total cost c is equal to the price per glass times the number of glasses n plus $9.95 for shipping and handling.<br \/>\nThe equation is: c = 4.25n + 9.95<br \/>\nNow we have to find the cost of 12 glasses.<br \/>\nc = 4.25(12) + 9.95<br \/>\nc = 60.95<br \/>\nIt takes $60.95 to buy 12 glasses.<\/p>\n<h3><a id=\"Unlock_the_Problem_Page_No_494\"><\/a>Unlock the Problem &#8211; Page No. 494<\/h3>\n<p>Question 8.<br \/>\nBenji decides to save $15 per week to buy a computer program. Write an equation that models the total amount t in dollars Benji will have saved in w weeks.<br \/>\na. What does the variable t represent?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: t represents the total amount in dollars Banji saved.<\/p>\n<p>Question 8.<br \/>\nb. Which is the dependent variable? Which is the independent variable? How do you know?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nw is the dependent variable.<br \/>\nt is the independent variable.<br \/>\nw is dependent because it represents the number of weeks. So, we have to multiply 15 with w.<br \/>\nt is an independent variable because t determines the value of dependent variable.<\/p>\n<p>Question 8.<br \/>\nc. How can you find the total amount saved in w weeks?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: We can find the total amount saved in w weeks by multiplying 15 with w.<\/p>\n<p>Question 8.<br \/>\nd. Write an equation for the total amount that Benji will have saved.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: t = 15w<\/p>\n<p>Question 9.<br \/>\nCoach Diaz is buying hats for the baseball team. The total cost c is equal to the number of hats n that he buys times the sum of the price per hat h and a $2 charge per hat to have the team name printed on it. Write an equation that can be used to find the cost of the hats.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = n + 2h<\/p>\n<p>Explanation:<br \/>\nCoach Diaz is buying hats for the baseball team.<br \/>\nThe total cost c is equal to the number of hats n that he buys times the sum of the price per hat h and a $2 charge per hat to have the team name printed on it.<br \/>\nc represents the total cost.<br \/>\nn is the number of hats<br \/>\nh is the price per hat.<br \/>\nThe equation is c is equal to the number of hats plus price per hat and $2.<br \/>\nc = n + 2h<\/p>\n<p>Question 10.<br \/>\nA steel cable that is \\(\\frac{1}{2}\\) inch in diameter weighs 0.42 pound per foot. The total weight in pounds w is equal to 0.42 times of the number of feet f of steel cable. Choose the letter or equation that makes each sentence true.<br \/>\nThe independent variable is ______________ .<br \/>\nThe dependent variable is ______________ .<br \/>\nThe equation that represents the relationship between the variables is ______________ .<\/p>\n<p>Answer:<br \/>\nA steel cable that is \\(\\frac{1}{2}\\) inch in diameter weighs 0.42 pound per foot.<br \/>\nThe total weight in pounds w is equal to 0.42 times of the number of feet f of steel cable.<br \/>\nThe equation would be:<br \/>\nw = 0.2f<br \/>\nf is the dependent variable<br \/>\nw is the dependent variable.<\/p>\n<h3><a id=\"Independent_and_Dependent_Variables_Page_No_495\"><\/a>Independent and Dependent Variables &#8211; Page No. 495<\/h3>\n<p><strong>Identify the independent and dependent variables. Then write an equation to represent the relationship between them.<\/strong><\/p>\n<p>Question 1.<br \/>\nSandra has a coupon to save $3 off her next purchase at a restaurant. The cost of her meal c will be the price of the food p that she orders, minus $3.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = p &#8211; 3<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nSandra has a coupon to save $3 off her next purchase at a restaurant.<br \/>\nThe cost of her meal c will be the price of the food p that she orders, minus $3.<br \/>\nc is the independent variable<br \/>\np is the dependent variable<br \/>\nThe equation would be:<br \/>\nc = p &#8211; 3<\/p>\n<p>Question 2.<br \/>\nAn online clothing store charges $6 for shipping, no matter the price of the items. The total cost c in dollars is the price of the items ordered p plus $6 for shipping.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = p + 6<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nAn online clothing store charges $6 for shipping, no matter the price of the items.<br \/>\nThe total cost c in dollars is the price of the items ordered p plus $6 for shipping.<br \/>\nThe equation would be:<br \/>\nc = p + $6<br \/>\nwhere c = cost in dollars<br \/>\np is the price of items<br \/>\nThe independent variable is c.<br \/>\nThe dependent variable is p<\/p>\n<p>Question 3.<br \/>\nMelinda is making necklaces. She uses 12 beads for each necklace. The total number of beads b depends on the number of necklaces n.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: b = 12n<\/p>\n<p>Explanation:<br \/>\nMelinda is making necklaces. She uses 12 beads for each necklace.<br \/>\nThe total number of beads b depends on the number of necklaces n.<br \/>\nb = total number of beads<br \/>\nn = number of necklaces<br \/>\nThe equation would be:<br \/>\nb = 12n<br \/>\nb is the independent variable<br \/>\nn is the dependent variable.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 4.<br \/>\nMaria earns $45 for every lawn that she mows. Her earnings e in dollars depend on the number of lawns n that she mows. Write an equation that represents this situation.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: e = 45n<\/p>\n<p>Explanation:<br \/>\nMaria earns $45 for every lawn that she mows.<br \/>\nHer earnings e in dollars depend on the number of lawns n that she mows.<br \/>\ne = earnings in dollars<br \/>\nn = number of lawns<br \/>\nThe equation would be:<br \/>\ne = 45n<br \/>\ne is the independent variable.<br \/>\nn is the dependent variable.<\/p>\n<p>Question 5.<br \/>\nMartin sells cars. He earns $100 per day, plus any commission on his sales. His daily salary s in dollars depends on the amount of commission c. Write an equation to represent his daily salary.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: s = 100 + c<\/p>\n<p>Explanation:<br \/>\nMartin sells cars. He earns $100 per day, plus any commission on his sales. His daily salary s in dollars depends on the amount of commission c.<br \/>\nc = amount of commission<br \/>\ns = salary in dollars<br \/>\nThe equation would be:<br \/>\ns = 100 + c<br \/>\ns is the independent variable.<br \/>\nc is the dependent variable.<\/p>\n<p>Question 6.<br \/>\nWrite a situation in which one unknown is dependent on another unknown. Write an equation for your situation and identify the dependent and independent variables.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nByron is playing a game. He earns 10 points for each question he answers correctly. His total score s equals the number of correct answers a time a.<br \/>\nAnswer:<br \/>\nDependent variable: s<br \/>\nIndependent variable: a<br \/>\nEquation: s = 10a<\/p>\n<h3><a id=\"Lesson_Check_Page_No_496\"><\/a>Lesson Check &#8211; Page No. 496<\/h3>\n<p>Question 1.<br \/>\nThere are 12 boys in a math class. The total number of students s depends on the number of girls in the class g. Write an equation that represents this situation.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: s = 12 + g<\/p>\n<p>Explanation:<br \/>\nThere are 12 boys in a math class.<br \/>\nThe total number of students s depends on the number of girls in class g.<br \/>\nThe equation would be:<br \/>\ns = 12 + g<br \/>\ns is the independent variable.<br \/>\ng is the dependent variable.<\/p>\n<p>Question 2.<br \/>\nA store received a shipment of soup cans. The clerk put an equal number of cans on each of 4 shelves. Write an equation to represent the relationship between the total number of cans t and the number of cans on each shelf n.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: n = t \u00f7 4<\/p>\n<p>Explanation:<br \/>\nA store received a shipment of soup cans. The clerk put an equal number of cans on each of 4 shelves.<br \/>\nt = number of cans.<br \/>\nn = number of cans on each shelf.<br \/>\nThe equation would be:<br \/>\nn = t \u00f7 4<br \/>\nn is the independent variable.<br \/>\nt is the dependent variable.<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nThe formula F = \\(\\frac{9}{5}\\)C + 32 gives the Fahrenheit temperature for a Celsius temperature of C degrees. Gwen measured a Celsius temperature of 35 degrees. What is this temperature in degrees Fahrenheit?<br \/>\n______ \u00b0F<\/p>\n<p>Answer: 95 degrees<\/p>\n<p>Explanation:<br \/>\nThe formula F = \\(\\frac{9}{5}\\)C + 32 gives the Fahrenheit temperature for a Celsius temperature of C degrees.<br \/>\nC = 35<br \/>\nF = 9C \u00f7 5 + 32<br \/>\nF = 9(35) \u00f7 5 + 32<br \/>\nF = 315 \u00f7 5 + 32<br \/>\nF = 63 + 32<br \/>\nF = 95 degrees<\/p>\n<p>Question 4.<br \/>\nWrite an equation to represent this sentence. The difference of a number n and 1.8 is 2.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: n &#8211; 1.8 = 2<\/p>\n<p>Explanation:<br \/>\nThe difference of a number n and 1.8 is 2.<br \/>\nThe phrase difference is nothing but subtraction.<br \/>\nThe equation would be:<br \/>\nn &#8211; 1.8 = 2<\/p>\n<p>Question 5.<br \/>\nDrew drank 4 cups of orange juice. This is \\(\\frac{2}{5}\\) of the total amount of juice that was in the container. Solve \\(\\frac{2}{5}\\)x = 4 to find the number of cups x of juice in the container. How much juice was in the container?<br \/>\n______ cups<\/p>\n<p>Answer: 10 cups<\/p>\n<p>Explanation:<br \/>\nDrew drank 4 cups of orange juice. This is \\(\\frac{2}{5}\\) of the total amount of juice that was in the container.<br \/>\n\\(\\frac{2}{5}\\)x = 4<br \/>\n2 \u00d7 x = 4 \u00d7 5<br \/>\n2x = 20<br \/>\nx = 20\/2<br \/>\nx = 10<br \/>\nThus there are 10 cups of juice in the container.<\/p>\n<p>Question 6.<br \/>\nGraph x \u2264 <sup>&#8211;<\/sup>4.5 on a number line.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7217\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/GO-Math-Grade-6-Chapter-9-answer-key-img-1-300x83.jpg\" alt=\"GO Math Grade 6 Chapter 9 answer key img-1\" width=\"300\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/GO-Math-Grade-6-Chapter-9-answer-key-img-1-300x83.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/GO-Math-Grade-6-Chapter-9-answer-key-img-1.jpg 493w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Share_and_Show_Page_No_499\"><\/a>Share and Show &#8211; Page No. 499<\/h3>\n<p><strong>Use the equation to complete the table.<\/strong><\/p>\n<p>Question 1.<br \/>\ny = x + 3<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-1.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 1\" width=\"270\" height=\"215\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nSubstitute the value of x in the above equation.<br \/>\nThe equation is x + 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7218\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-1-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-1\" width=\"270\" height=\"215\" \/><\/p>\n<p>Question 2.<br \/>\ny = 2x + 1<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-2.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 2\" width=\"179\" height=\"216\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nSubstitute the value of x in the above equation.<br \/>\nThe equation is y = 2x + 1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7219\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-2-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-2\" width=\"179\" height=\"216\" \/><\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write an equation for the relationship shown in the table. Then find the unknown value in the table.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-3.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 3\" width=\"329\" height=\"70\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is y = 2x<br \/>\nThe output is multiple of 2 and x<br \/>\nFor x = 10<br \/>\nThe output is y = 2x<br \/>\ny = 2 \u00d7 10 = 20<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-4.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 4\" width=\"329\" height=\"67\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\ny = x \u00f7 2<br \/>\nThe output is the quotient of x and 2.<br \/>\nThe output for x = 40 is<br \/>\ny = 40 \u00f7 2<br \/>\ny = 20<\/p>\n<p>Question 5.<br \/>\nThe table shows the current cost of buying apps for a cell phone. Next month, the price of each app will double. Write an equation you can use to find the total cost y of buying x apps next month.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-5.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 5\" width=\"269\" height=\"189\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 3x<\/p>\n<p>Explanation:<br \/>\nThe equation is multiple of 3 and x.<br \/>\nThe equation is y = 3x<\/p>\n<p>Question 6.<br \/>\nA beach resort charges $1.50 per hour plus $4.50 to rent a bicycle. The equation c = 1.50x + 4.50 gives the total cost c of renting a bicycle for x hours. Use numbers and words to explain how to find the cost c of renting a bicycle for 6 hours.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-6.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 6\" width=\"270\" height=\"200\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nA beach resort charges $1.50 per hour plus $4.50 to rent a bicycle.<br \/>\nThe equation c = 1.50x + 4.50 gives the total cost c of renting a bicycle for x hours.<br \/>\nFor x = 1<br \/>\nc = 1.50(1) + 4.50<br \/>\nc = 1.50 + 4.50<br \/>\nc = $6.00<br \/>\nFor x = 2<br \/>\nc = 1.50(2) + 4.50<br \/>\nc = 3.00 + 4.50<br \/>\nc = $7.50<br \/>\nFor x = 3<br \/>\nc = 1.50(3) + 4.50<br \/>\nc = 4.50 + 4.50<br \/>\nc = $9.00<br \/>\nFor x = 4<br \/>\nc = 1.50(4) + 4.50<br \/>\nc = 6.00 + 4.50<br \/>\nc = $10.50<\/p>\n<h3><a id=\"Cause_and_Effect_Page_No_500\"><\/a>&lt;\/aCause and Effect &#8211; Page No. 500<\/h3>\n<p>The reading skill cause and effect can help you understand how a change in one variable may cause a change in another variable.<\/p>\n<p>In karate, a person\u2019s skill level is often shown by the color of his or her belt. At Sara\u2019s karate school, students must pass a test to move from one belt level to the next. Each test costs $23. Sara hopes to move up 3 belt levels this year. How will this affect her karate expenses?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-7.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 7\" width=\"548\" height=\"97\" \/><\/p>\n<p>Question 7.<br \/>\nWrite an equation to show the relationship between cause and effect. Then use the equation to solve the problem.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 23x<\/p>\n<p>Explanation:<br \/>\nLet x represent the number of belt levels Sara moves up and let y represent the increase in dollars in her karate expenses.<br \/>\nWrite the equation:<br \/>\ny = 23x<br \/>\nSara plans to move up 3 levels, so replace x with 3<br \/>\ny = 23 \u00d7 3<br \/>\ny = 69<br \/>\nSo, if Sara moves up 3 belt levels this year, her karate expenses will increase by $69.<\/p>\n<p><strong>Write an equation to show the relationship between cause and effect. Then use the equation to solve the problem.<\/strong><\/p>\n<p>Question 8.<br \/>\nClasses at Tony\u2019s karate school cost $29.50 per month. This year he plans to take 2 more months of classes than he did last year. How will this affect Tony\u2019s karate expenses?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is y = 29.50x<br \/>\nwhere x is the number of additional classes<br \/>\ny is the increase in dollars in expenses.<br \/>\nTony plans to take 2 more months of classes so his expenses will increase by y = 29.5 \u00d7 2 = $59<\/p>\n<p>Question 9.<br \/>\nWrite an Equation A sporting goods store regularly sells karate uniforms for $35.90 each. The store is putting karate uniforms on sale for 10% off. How will this affect the price of a karate uniform?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is y = 35.90x<br \/>\nwhere x is the percent of the discount and y is the decrease in dollars in the sales price.<br \/>\nFor a 10% discount the price will decrease by y = 35.90 \u00d7 0.01 = $3.59<\/p>\n<h3><a id=\"Equations_and_Tables_Page_No_501\"><\/a>Equations and Tables &#8211; Page No. 501<\/h3>\n<p><strong>Use the equation to complete the table.<\/strong><\/p>\n<p>Question 1.<br \/>\ny = 6x<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-8.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 8\" width=\"243\" height=\"215\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is y = 6x<br \/>\nSubstitute the value of x in the above equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7257\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-8-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-8\" width=\"243\" height=\"215\" \/><\/p>\n<p>Question 2.<br \/>\ny = x \u2212 7<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-9.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 9\" width=\"244\" height=\"216\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is y = x &#8211; 7<br \/>\nSubstitute the value of x in the equation.<br \/>\nUse the equation to get the output y.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7258\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-9-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-9\" width=\"244\" height=\"216\" \/><\/p>\n<p>Question 3.<br \/>\ny = 3x + 4<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-10.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 10\" width=\"244\" height=\"216\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is y = 3x + 4<br \/>\nSubstitute the value of x in the above equation.<br \/>\nUse the equation to get the output y.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7259\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-10-1-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-10 (1)\" width=\"244\" height=\"216\" \/><\/p>\n<p><strong>Write an equation for the relationship shown in the table. Then find the unknown value in the table.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-11.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 11\" width=\"328\" height=\"71\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 8x<\/p>\n<p>Explanation:<br \/>\nThe equation is the multiple of 8.<br \/>\nThe equation is y = 8x<br \/>\nSubstitute x = 3 in the equation.<br \/>\ny = 8(3) = 24<br \/>\nThus the unknown value is 24.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-12.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 12\" width=\"330\" height=\"69\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = x \u00f7 2<\/p>\n<p>Explanation:<br \/>\nThe equation is divisible by 2.<br \/>\nThe equation is y = x \u00f7 2<br \/>\nSubstitute x = 22 in the equation.<br \/>\ny = x \u00f7 2<br \/>\ny = 22 \u00f7 2<br \/>\ny = 11<br \/>\nTherefore the unknown value is 11.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 6.<br \/>\nTickets to a play cost $11 each. There is also a service charge of $4 per order. Write an equation for the relationship that gives the total cost y in dollars for an order of x tickets.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 11x + 4<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nTickets to a play cost $11 each.<br \/>\nThere is also a service charge of $4 per order.<br \/>\ny represents the total cost in dollars.<br \/>\nx represents the order of tickets.<br \/>\nThe equation is y = 11x + 4<\/p>\n<p>Question 7.<br \/>\nWrite an equation for the relationship shown in the table. Then use the equation to find the estimated number of shrimp in a 5-pound bag.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-13.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 13\" width=\"415\" height=\"144\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 24x<\/p>\n<p>Explanation:<br \/>\nThe equation is the multiple of 24.<br \/>\nThe equation is y = 24x<\/p>\n<p>Question 8.<br \/>\nWrite a word problem that can be represented by a table and equation. Solve your problem and include the table and equation.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nSusie ran a race. She ran 5 miles an hour and the race took her x hours to complete.<br \/>\ny = 5x<br \/>\nUse the equation to get the output y.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7228\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-10-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-10\" width=\"244\" height=\"216\" \/><\/p>\n<h3><a id=\"Lesson_Check_Page_No_502\"><\/a>Lesson Check &#8211; Page No. 502<\/h3>\n<p>Question 1.<br \/>\nWrite an equation that represents the relationship shown in the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-14.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 14\" width=\"328\" height=\"67\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = x &#8211; 4<\/p>\n<p>Explanation:<br \/>\nThe relationship between x and y is y = x &#8211; 4.<br \/>\nWe get the output when we subtract 4 from x.<\/p>\n<p>Question 2.<br \/>\nThere is a one-time fee of $27 to join a gym. The monthly cost of using the gym is $18. Write an equation for the relationship that gives the total cost y in dollars of joining the gym and using it for x months.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 18x + 27<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere is a one-time fee of $27 to join a gym. The monthly cost of using the gym is $18.<br \/>\nHere y represents the total coast in dollars of joining the gym.<br \/>\nx represents months.<br \/>\nSo, the equation would be: y = 18x + 27<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nMindy wants to buy several books that each cost $10. She has a coupon for $6 off her total cost. Write an expression to represent her total cost in dollars for b books.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 10b &#8211; 6<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nMindy wants to buy several books that each cost $10.<br \/>\nShe has a coupon for $6 off her total cost.<br \/>\nb represents the total cost in dollars for b books.<br \/>\nSo, the equation to represent the total cost is 10b &#8211; 6.<\/p>\n<p>Question 4.<br \/>\nWhen a coupon of $1.25 off is used, the cost of a taco meal is $4.85. The equation p \u2013 1.25 = 4.85 can be used to find the regular price p in dollars of a taco meal. How much does a regular taco meal cost?<br \/>\n$ _______<\/p>\n<p>Answer: 6.10<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nWhen a coupon of $1.25 off is used, the cost of a taco meal is $4.85.<br \/>\nThe equation is p &#8211; 1.25 = 4.85<br \/>\np = 4.85 + 1.25<br \/>\np = 6.10<br \/>\nTherefore the taco meal cost $6.10.<\/p>\n<p>Question 5.<br \/>\nWhich of the following are solutions to the inequality n &gt; <sup>&#8211;<\/sup>7?<br \/>\nn = <sup>&#8211;<\/sup>7 n = <sup>&#8211;<\/sup>6.9 n = <sup>&#8211;<\/sup>7.2 n = <sup>&#8211;<\/sup>6\\(\\frac{1}{2}\\)<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: n = -7<\/p>\n<p>Explanation:<br \/>\nSubstitute the value of n in the inequality.<br \/>\nn &gt; <sup>&#8211;<\/sup>7<br \/>\nn = -7<br \/>\n-7 &gt; -7<br \/>\nThus -7 is the solution.<br \/>\nn = <sup>&#8211;<\/sup>6.9<br \/>\n-6.9 &gt; -7<br \/>\n-6.9 is not the solution.<br \/>\nn = <sup>&#8211;<\/sup>7.2<br \/>\n-7.2 &gt; -7<br \/>\n-7.2 is less than &#8211; 7<br \/>\nThus -7.2 is not the solution.<br \/>\nn = <sup>&#8211;<\/sup>6\\(\\frac{1}{2}\\)<br \/>\n<sup>&#8211;<\/sup>6\\(\\frac{1}{2}\\) &gt; -7<br \/>\n<sup>&#8211;<\/sup>6\\(\\frac{1}{2}\\) is not the solution.<\/p>\n<p>Question 6.<br \/>\nMarcus sold brownies at a bake sale. He sold d dollars worth of brownies. He spent $5.50 on materials, so his total profit p in dollars can be found by subtracting $5.50 from his earnings. Write an equation that represents this situation.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: p = d &#8211; 5.50<\/p>\n<p>Explanation:<br \/>\nMarcus sold brownies at a bake sale. He sold d dollars worth of brownies.<br \/>\nHe spent $5.50 on materials, so his total profit p in dollars can be found by subtracting $5.50 from his earnings.<br \/>\np represents the total profit in dollars.<br \/>\nd is the dollars worth of brownies.<br \/>\nThe equation is p = d &#8211; 5.50<\/p>\n<h3><a id=\"Share_and_Show_Page_No_505\"><\/a>Share and Show &#8211; Page No. 505<\/h3>\n<p>Question 1.<br \/>\nA soccer coach is ordering shirts for the players. The table shows the total cost based on the number of shirts ordered. How much will it cost the coach to order 18 shirts?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-15.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 15\" width=\"341\" height=\"119\" \/><br \/>\n$ _______<\/p>\n<p>Answer: 270<\/p>\n<p>Explanation:<br \/>\nFirst, find a pattern and write an equation.<br \/>\nThe cost is $15 multiplied by the number of shirts.<br \/>\nc = $15 \u00d7 n<br \/>\nNext, use the equation to find the cost of 18 shirts.<br \/>\nc = $15 \u00d7 n<br \/>\nc = $15 \u00d7 18<br \/>\nc = $270<br \/>\nSo, the cost of 18 shirts is $270.<\/p>\n<p>Question 2.<br \/>\nWhat if the coach spent $375 to purchase a number of shirts? Could you use the same equation to find how many shirts the coach bought? Explain.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nYes, I could use the same equation.<br \/>\nI could substitute 375 for the variable c and solve for n.<\/p>\n<p>Question 3.<br \/>\nThe table shows the number of miles the Carter family drove over time. If the pattern continues, will the Carter family have driven more than 400 miles in 8 hours? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-16.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 16\" width=\"275\" height=\"209\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 376 miles<\/p>\n<p>Explanation:<br \/>\nFirst, find a pattern and write an equation.<br \/>\nThe distance is 47 miles multiplied by the number of hours.<br \/>\ny = 47 \u00d7 x<br \/>\nNext, use the equations to find the distance for 8 hours.<br \/>\ny = 47x<br \/>\ny = 47 \u00d7 8<br \/>\ny = 376<br \/>\nSo, the family will have driven 376 miles in 8 hours, which is less than 400 miles.<\/p>\n<p>Question 4.<br \/>\nLook for a Pattern The Carter family drove a total of 564 miles. Describe how to use the pattern in the table to find the number of hours they spent driving.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 12 hours<\/p>\n<p>Explanation:<br \/>\nThe equation is y = 47x<br \/>\nNext, use the equation to find the number of hours for 564 miles.<br \/>\n564 = 47 \u00d7 x<br \/>\nx = 564\/47<br \/>\nx = 12<br \/>\nSo, the Carter family spent 12 hours driving for 564 miles.<\/p>\n<h3><a id=\"On_Your_Own_Page_No_506\"><\/a>On Your Own &#8211; Page No. 506<\/h3>\n<p>Question 5.<br \/>\nA group of dancers practiced for 4 hours in March, 8 hours in April, 12 hours in May, and 16 hours in June. If the pattern continues, how many hours will they practice in November?<br \/>\n_______ hours<\/p>\n<p>Answer: 36 hours<\/p>\n<p>Explanation:<br \/>\nGiven that, a group of dancers practiced for 4 hours in March, 8 hours in April, 12 hours in May, and 16 hours in June.<br \/>\nThe equation would be h = 4m<br \/>\nm = 9<br \/>\nh = 4 \u00d7 9 = 36<br \/>\nThus the group practiced 36 hours in the month of November.<\/p>\n<p>Question 6.<br \/>\nThe table shows the number of hours Jacob worked and the amount he earned each day.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-17.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 17\" width=\"486\" height=\"106\" \/><br \/>\nAt the end of the week, he used his earnings to buy a new pair of skis. He had $218 left over. How much did the skis cost?<br \/>\n$ _______<\/p>\n<p>Answer: 142<\/p>\n<p>Explanation:<br \/>\nFirst, add the total amount he earned.<br \/>\n60 + 84 + 72 + 96 + 48 = 360<br \/>\nJacob earned $360 for the week.<br \/>\nIf he has $218 leftover, this means that the cost of the skis is 360 &#8211; 218 = 14<br \/>\nTherefore the cost of the skis is $142.<\/p>\n<p>Question 7.<br \/>\nPose a Problem Look back at Problem 6. Use the data in the table to write a new problem in which you could use the strategy to find a pattern. Then solve the problem.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nHow much money would Jacob earn if he worked for 10 hours?<br \/>\nFrom the table, we can see that the pattern is that Jacob earns $12 per hour.<br \/>\nThe equation is s = 12h<br \/>\nWhere s is the total pay and h is the number of hours worked.<br \/>\ns = 12h<br \/>\ns = 12 \u00d7 10<br \/>\ns = 120<br \/>\nThus Jacob earned $120 for 10 hours.<\/p>\n<p>Question 8.<br \/>\nDraw Conclusions Marlon rode his bicycle 9 miles the first week, 18 miles the second week, and 27 miles the third week. If the pattern continues, will Marlon ride exactly 100 miles in a week at some point? Explain how you determined your answer.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: No, Marlon will not ride exactly 100 miles in a week at some point.<br \/>\nEach number in the pattern is a multiple of 9 and 100 is not a multiple of 9.<\/p>\n<p>Question 9.<br \/>\nA diving instructor ordered snorkels. The table shows the cost based on the number of snorkels ordered.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-18.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 18\" width=\"294\" height=\"81\" \/><br \/>\nIf the diving instructor spent $1,024, how many snorkels did he order? Use numbers and words to explain your answer.<br \/>\n_______ snorkels<\/p>\n<p>Answer: 32<\/p>\n<p>Explanation:<br \/>\nUse the table to find the equation.<br \/>\nc represents the cost based on the number of snorkels.<br \/>\ns represents the number of snorkels<br \/>\nThe equation would be:<br \/>\nc = 32s<br \/>\nThe diving instructor spent $1,024<br \/>\nc = 1024<br \/>\n1024 = 32s<br \/>\ns = 1024\/32<br \/>\ns = 32<br \/>\nThus the diving instructor gets 32 snorkels for $1024.<\/p>\n<h3><a id=\"Problem_Solving_Analyze_Relationships_Page_No_507\"><\/a>Problem Solving Analyze Relationships &#8211; Page No. 507<\/h3>\n<p><strong>The table shows the number of cups of yogurt needed to make different amounts of a fruit smoothie. Use the table for 1\u20133.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-19.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 19\" width=\"556\" height=\"66\" \/><\/p>\n<p>Question 1.<br \/>\nWrite an equation to represent the relationship.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = 3b<\/p>\n<p>Explanation:<br \/>\nc represents number of cups of yogurt<br \/>\nb represents the batches<br \/>\nFrom the table, we can observe that b is multiplied with 3 to get cups of yogurt.<br \/>\nSo, the equation to find the number of cups of yogurt is c = 3b<\/p>\n<p>Question 2.<br \/>\nHow much yogurt is needed for 9 batches of smoothie?<br \/>\n_______ cups<\/p>\n<p>Answer: 27<\/p>\n<p>Explanation:<br \/>\nGiven that there are 9 batches of smoothie.<br \/>\nBy using the above equation we can find the number of cups.<br \/>\nc = 3b<br \/>\nc = 3 \u00d7 9 = 27 cups<br \/>\nThus 27 cups of yogurt is need to make 9 batches of smoothie.<\/p>\n<p>Question 3.<br \/>\nJerry used 33 cups of yogurt to make smoothies. How many batches did he make?<br \/>\n_______ batches<\/p>\n<p>Answer: 11 batches<\/p>\n<p>Explanation:<br \/>\nJerry used 33 cups of yogurt to make smoothies.<br \/>\nUse the equation to find the batches.<br \/>\nc = 3b<br \/>\n33 = 3b<br \/>\nb = 33\/3<br \/>\nb = 11<br \/>\nTherefore jerry made 11 batches of smoothie.<\/p>\n<p><strong>The table shows the relationship between Winn\u2019s age and his sister\u2019s age. Use the table for 4\u20135.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-20.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 20\" width=\"585\" height=\"69\" \/><\/p>\n<p>Question 4.<br \/>\nWrite an equation to represent the relationship.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: s = w + 4<\/p>\n<p>Explanation:<br \/>\nBy using the table we can find the relationship between wine&#8217;s age and wine&#8217;s sister&#8217;s age.<br \/>\nWinn&#8217;s sister&#8217;s age will be the sum of Winn&#8217;s age and 4.<br \/>\nSo, the equation is s = w + 4<\/p>\n<p>Question 5.<br \/>\nWhen Winn is 14 years old, how old will his sister be?<br \/>\n_______ years old<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\nUse the equation s = w + 4<br \/>\nW = 14 years<br \/>\ns = 14 + 4<br \/>\ns = 18 years<br \/>\nThus winn&#8217;s sister&#8217;s age is 18 years.<\/p>\n<p>Question 6.<br \/>\nWrite a problem for the table. Use a pattern and an equation to solve your problem.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-21.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 21\" width=\"329\" height=\"67\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: m = 16h<\/p>\n<p>Explanation:<br \/>\nJerry runs 16 miles per hour. How many miles he can run in 5 hours?<br \/>\nThe equation is m = 16h<br \/>\nm = 16 \u00d7 5 = 80 miles<br \/>\nTherefore jerry runs 80 miles in 5 hours.<\/p>\n<h3><a id=\"Lesson_Check_Page_No_508\"><\/a>Lesson Check &#8211; Page No. 508<\/h3>\n<p>Question 1.<br \/>\nThe table shows the total cost c in dollars of n gift baskets. What will be the cost of 9 gift baskets?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-22.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 22\" width=\"403\" height=\"143\" \/><\/p>\n<p>Answer: $108<\/p>\n<p>Explanation:<br \/>\nBy seeing the above we can say that the equation is<br \/>\nc = 12n<br \/>\nn = 9<br \/>\nUse the equation to find the cost of 9 gift baskets.<br \/>\nc = 12 \u00d7 9<br \/>\nc = $108<br \/>\nThus the cost of 9 gift baskets is $108.<\/p>\n<p>Question 2.<br \/>\nThe table shows the number of minutes m that Tara has practiced after d days. If Tara has practiced for 70 minutes, how many days has she practiced?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-23.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 23\" width=\"445\" height=\"111\" \/><br \/>\n_______ days<\/p>\n<p>Answer: 2 days<\/p>\n<p>Explanation:<br \/>\nThe table shows the number of minutes m that Tara has practiced after d days.<br \/>\nThe equation would be<br \/>\nm = 35d<br \/>\nIf Tara has practiced for 70 minutes<br \/>\nm = 70<br \/>\nUse the equation to find the number of days she practiced.<br \/>\n70 = 35d<br \/>\nd = 70\/35<br \/>\nd = 2 days<br \/>\nThus Tara has practiced 2 days.<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nSoccer shirts cost $15 each, and soccer shorts cost $18 each. The expression 15n + 18n represents the total cost in dollars of n uniforms. Simplify the expression by combining like terms.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 33n<\/p>\n<p>Explanation:<br \/>\nSoccer shirts cost $15 each, and soccer shorts cost $18 each.<br \/>\nThe expression 15n + 18n represents the total cost in dollars of n uniforms.<br \/>\nNow combine the like terms.<br \/>\n15n + 18n = 33n<\/p>\n<p>Question 4.<br \/>\nWhat is an equation that represents the relationship in the table?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-24.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 24\" width=\"328\" height=\"70\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = x \u00f7 2<\/p>\n<p>Explanation:<br \/>\nBy seeing the above table we can find the relationship between x and y.<br \/>\ny is the quotient of x and 2.<br \/>\nWe get the value of y when you divide x by 2.<br \/>\nThe equation is y = x \u00f7 2<\/p>\n<p>Question 5.<br \/>\nThe lowest price of an MP3 of a song in an online store is $0.99. Write an inequality that represents the price p in dollars of any MP3 in the store.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe lowest price of an MP3 of a song in an online store is $0.99.<br \/>\np represents the price in dollars.<br \/>\nThe inequality is p \u2265 0.99.<\/p>\n<p>Question 6.<br \/>\nMarisol plans to make 9 mini-sandwiches for every 2 people attending her party. Write a ratio that is equivalent to Marisol\u2019s ratio.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 9:2<\/p>\n<p>Explanation:<br \/>\nGiven that, Marisol plans to make 9 mini-sandwiches for every 2 people attending her party.<br \/>\nThe ratio will be 9:2<br \/>\nNow we need to write the equivalent ratio for the 9 sandwiches for every 2 people i.e, 9:2<br \/>\nWe know that the equivalent ratio can be written as<br \/>\n9\/2 \u00d7 3\/3 = 27\/6<br \/>\n9\/2 \u00d7 5\/5 = 45\/6<br \/>\nThus the equivalent fractions are 27\/6 and 45\/6.<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_509\"><\/a>Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 509<\/h3>\n<p><strong>Choose the best term from the box to complete the sentence.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-25.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 25\" width=\"269\" height=\"195\" \/><\/p>\n<p>Question 1.<br \/>\nA(n) _____ has a value that determines the value of another quantity.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: Independent variable<br \/>\nAn Independent variable has a value that determines the value of another quantity.<\/p>\n<p>Question 2.<br \/>\nA variable whose value is determined by the value of another quantity is called a(n) _____.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: Dependent variable<br \/>\nA variable whose value is determined by the value of another quantity is called a Dependent variable.<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Identify the independent and dependent variables.<\/strong><\/p>\n<p>Question 3.<br \/>\nMarco spends a total of d dollars on postage to mail party invitations to each of g guests.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\ndependent variable: <span style=\"text-decoration: underline;\">d<\/span><br \/>\nindependent variable: g<\/p>\n<p>Question 4.<br \/>\nSophie has a doll collection with 36 dolls. She decides to sell s dolls to a museum and has r dolls remaining.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\ndependent variable: <span style=\"text-decoration: underline;\">r<\/span><br \/>\nindependent variable: <span style=\"text-decoration: underline;\">s<\/span><\/p>\n<p><strong>Write an equation for the relationship shown in the table. Then find the unknown value in the table.<\/strong><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-26.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 26\" width=\"287\" height=\"68\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 49<\/p>\n<p>Explanation:<br \/>\nThe equation is y = 7x<br \/>\nx = 7<br \/>\ny = 7 \u00d7 7 = 49<br \/>\nThus the unknown value y is 49.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-27.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 27\" width=\"284\" height=\"66\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nThe equation for the above table is<br \/>\ny = x \u00f7 5<br \/>\nUse the equation to find the value of y where x = 60<br \/>\ny = 60 \u00f7 5<br \/>\ny = 12<br \/>\nThus the unknown value is 12.<\/p>\n<p><strong>Write an equation that describes the pattern shown in the table.<\/strong><\/p>\n<p>Question 7.<br \/>\nThe table shows how the number of pepperoni slices used depends on the number of pizzas made.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-28.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 28\" width=\"372\" height=\"100\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer: y = 17x<\/p>\n<p>Explanation:<br \/>\nThe table shows how the number of pepperoni slices used depends on the number of pizzas made.<br \/>\ny is 17 times of x.<br \/>\nThe equation for the above table is y = 17x<\/p>\n<p>Question 8.<br \/>\nBrayden is training for a marathon. The table shows how the number of miles he runs depends on which week of training he is in.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-29.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 29\" width=\"313\" height=\"101\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: m = w + 5<\/p>\n<p>Explanation:<br \/>\nBrayden is training for a marathon. The table shows how the number of miles he runs depends on which week of training he is in.<br \/>\nm is equal to the sum of w and 5.<br \/>\nThus the equation is m = w + 5.<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_510\"><\/a>Page No. 510<\/h3>\n<p>Question 9.<br \/>\nThe band has a total of 152 members. Some of the members are in the marching band, and the rest are in the concert band. Write an equation that models how many marching band members m there are if there are c concert band members.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: m = 152 &#8211; c<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThe band has a total of 152 members. Some of the members are in the marching band, and the rest are in the concert band.<br \/>\nm is equal to the difference of 152 and c.<br \/>\nThe equation is m = 152 &#8211; c<\/p>\n<p>Question 10.<br \/>\nA coach is ordering baseball jerseys from a website. The jerseys cost $15 each, and shipping is $8 per order. Write an equation that can be used to determine the total cost y, in dollars, for x jerseys.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 15x + 8<\/p>\n<p>Explanation:<br \/>\nA coach is ordering baseball jerseys from a website.<br \/>\nThe jerseys cost $15 each, and shipping is $8 per order.<br \/>\ny is equal to 15 times x plus 8<br \/>\nThe equation is y = 15x + 8.<\/p>\n<p>Question 11.<br \/>\nAmy volunteers at an animal shelter. She worked 10 hours in March, 12 hours in April, 14 hours in May, and 16 hours in June. If the pattern continues, how many hours will she work in December?<br \/>\n_______ hours<\/p>\n<p>Answer: 28 hours<\/p>\n<p>Explanation:<br \/>\nAmy volunteers at an animal shelter.<br \/>\nShe worked 10 hours in March, 12 hours in April, 14 hours in May, and 16 hours in June.<br \/>\nAs she started working from the march. December will be the 10th month.<br \/>\nKeep on adding 2 hours for each month you get 28 hours for December.<br \/>\nThus she worked 28 hours in December.<\/p>\n<p>Question 12.<br \/>\nAaron wants to buy a new snowboard. The table shows the amount that he has saved. If the pattern in the table continues, how much will he have saved after 1 year?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-30.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 30\" width=\"277\" height=\"196\" \/><br \/>\n$ _______<\/p>\n<p>Answer: $540<\/p>\n<p>Explanation:<br \/>\nAaron wants to buy a new snowboard. The table shows the amount that he has saved.<br \/>\nThe equation will be s = 45m<br \/>\ns is the money saved<br \/>\nm is the number of months<br \/>\n1 year = 12 months<br \/>\ns = 45 \u00d7 12<br \/>\ns = 540<br \/>\nThus he saved $540 after 1 year.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_513\"><\/a>Share and Show &#8211; Page No. 513<\/h3>\n<p><strong>Graph the relationship represented by the table.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-31.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 31\" width=\"258\" height=\"59\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 50x<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7328\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-19-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-19\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-19-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-19-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-19.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-32.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 32\" width=\"258\" height=\"60\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 5x<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7329\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-20-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-20\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-20-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-20-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-20.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Graph the relationship represented by the table to find the unknown value of y.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-33.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 33\" width=\"329\" height=\"72\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7324\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-15-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-15\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-15-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-15-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-15.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-34.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 34\" width=\"317\" height=\"73\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7325\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-16-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-16\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-16-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-16-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-16.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Practice: Copy and Solve Graph the relationship represented by the table to find the unknown value of y.<\/strong><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-35.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 35\" width=\"321\" height=\"73\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7326\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-17-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-17\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-17-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-17-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-17.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-36.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 36\" width=\"317\" height=\"73\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7327\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-18-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-18\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-18-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-18-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-18.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Problem_Solving_+_Applications_Page_No_514\"><\/a>Problem Solving + Applications &#8211; Page No. 514<\/h3>\n<p><strong>The table at the right shows the typical price of a popular brand of corn cereal over time. Use the table for 7\u20138.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-37.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 37\" width=\"251\" height=\"176\" \/><\/p>\n<p>Question 7.<br \/>\nUse Graphs Complete the table below to show the cost of buying 1 to 5 boxes of corn cereal in 1988. Then graph the relationship on the coordinate plane at right.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-38.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 38\" width=\"395\" height=\"99\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7338\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-38-1-300x75.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-38\" width=\"300\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-38-1-300x75.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-38-1.jpg 395w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7339\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-26-300x188.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-26\" width=\"300\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-26-300x188.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-26.jpg 671w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 8.<br \/>\nSuppose you graphed the cost of buying 1 to 5 boxes of corn cereal using the 1968 price and the 2008 price. Explain how those graphs would compare to the graph you made using the 1988 price.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe points on both graphs would lie on a line, but the line for the 1968 costs would rise less steeply than the line for 1988 costs and the line for the 2008 costs would rise more steeply than the line for 1988 costs.<\/p>\n<p>Question 9.<br \/>\nA bookstore charges $4 for shipping, no matter how many books you buy. Irena makes a graph showing the shipping cost for 1 to 5 books. She claims that the points she graphed lie on a line. Does her statement make sense? Explain.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: Yes her statement makes sense.<br \/>\nThe points on the graph are (1,4), (2,4), (3,4), (4,4). These points lie on the horizontal line.<\/p>\n<p>Question 10.<br \/>\nGraph the relationship represented by the table to find the unknown value of y.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-39.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 39\" width=\"338\" height=\"74\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7337\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-25-300x188.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-25\" width=\"300\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-25-300x188.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-25.jpg 671w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Graph_Relationships_Page_No_515\"><\/a>Graph Relationships &#8211; Page No. 515<\/h3>\n<p><strong>Graph the relationship represented by the table.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-40.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 40\" width=\"338\" height=\"60\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 25x<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7319\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-10-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-10\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-10-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-10-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-10.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-41.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 41\" width=\"336\" height=\"58\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7320\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-11-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-11\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-11-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-11-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-11.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Graph the relationship represented by the table to find the unknown value of y.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-42.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 42\" width=\"338\" height=\"58\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 6<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7321\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-12-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-12\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-12-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-12-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-12.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-43.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 43\" width=\"338\" height=\"58\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 2<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7322\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-13-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-13\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-13-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-13-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-13.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 5.<br \/>\nGraph the relationship represented by the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-44.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 44\" width=\"360\" height=\"59\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 15x<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7323\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-14-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-14\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-14-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-14-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-14.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\nUse the graph to find the cost of purchasing 5 DVDs.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\nThe above graph shows that the cost of 5 DVDs is $75.<\/p>\n<p>Question 7.<br \/>\nBoth tables and graphs can be used to represent relationships between two variables. Explain how tables and graphs are similar and how they are different.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nTables and graphs can be useful tools for helping people make decisions. However, they only provide part of a story. Inferences often have to be made from the data shown. As well as being able to identify clearly what the graph or table is telling us, it is important to identify what parts of the story are missing.<\/p>\n<h3><a id=\"Lesson_Check_Page_No_516\"><\/a>Lesson Check &#8211; Page No. 516<\/h3>\n<p>Question 1.<br \/>\nMei wants to graph the relationship represented by the table. Write an ordered pair that is a point on the graph of the relationship.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-45.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 45\" width=\"358\" height=\"59\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 8x<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7340\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-27-300x188.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-27\" width=\"300\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-27-300x188.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-27.jpg 671w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nAn online bookstore charges $2 to ship any book. Cole graphs the relationship that gives the total cost y in dollars to buy and ship a book that costs x dollars. Name an ordered pair that is a point on the graph of the relationship.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nAn online bookstore charges $2 to ship any book.<br \/>\nCole graphs the relationship that gives the total cost y in dollars to buy and ship a book that costs x dollars.<br \/>\ny = x + 2<br \/>\nx = 4<br \/>\ny = 4 + 2<br \/>\ny = 6<br \/>\nThe ordered pair is (4,6)<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWrite an expression that is equivalent to 6(g + 4).<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n6(g + 4)<br \/>\n6 \u00d7 g + 6 \u00d7 4<br \/>\n6g + 24<\/p>\n<p>Question 4.<br \/>\nThere are 6 girls in a music class. This represents \\(\\frac{3}{7}\\) of the entire class. Solve \\(\\frac{3}{7}\\)s = 6 to find the number of students, s, in the class.<br \/>\n_____ students<\/p>\n<p>Answer: 14<\/p>\n<p>Explanation:<br \/>\nThere are 6 girls in a music class. This represents \\(\\frac{3}{7}\\) of the entire class.<br \/>\n\\(\\frac{3}{7}\\)s = 6<br \/>\n3 \u00d7 s = 6 \u00d7 7<br \/>\n3s = 42<br \/>\ns = 42\/3<br \/>\ns = 14<br \/>\nThere are 14 students in the class.<\/p>\n<p>Question 5.<br \/>\nGraph n &gt; <sup>&#8211;<\/sup>2 on a number line.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7341\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/HMH-Go-Math-Grade-6-Key-Chapter-9-img-28-300x59.jpg\" alt=\"HMH Go Math Grade 6 Key Chapter 9 img-28\" width=\"300\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/HMH-Go-Math-Grade-6-Key-Chapter-9-img-28-300x59.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/HMH-Go-Math-Grade-6-Key-Chapter-9-img-28.jpg 399w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\nSam is ordering lunch for the people in his office. The table shows the cost of lunch based on the number of people. How much will lunch cost for 35 people?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-46.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 46\" width=\"357\" height=\"57\" \/><br \/>\n$ _____<\/p>\n<p>Answer: 280<\/p>\n<p>Explanation:<br \/>\nSam is ordering lunch for the people in his office.<br \/>\nThe table shows the cost of lunch based on the number of people.<br \/>\nThe equation is c = 8n<br \/>\nc = 8 \u00d7 35<br \/>\nc = 280<br \/>\nThus the lunch cost for 35 people is $280.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_519\"><\/a>Share and Show &#8211; Page No. 519<\/h3>\n<p><strong>Graph the linear equation.<\/strong><\/p>\n<p>Question 1.<br \/>\ny = x + 2<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7342\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-28-300x216.jpg\" alt=\"Go math grade 6 chapter 9 answer key img-28\" width=\"300\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-28-300x216.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-28.jpg 336w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\ny = 3x<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7343\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-29-300x216.jpg\" alt=\"Go math grade 6 chapter 9 answer key img-29\" width=\"300\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-29-300x216.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-29.jpg 336w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Write the linear equation for the relationship shown by the graph.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-47.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 47\" width=\"265\" height=\"278\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = x &#8211; 1<\/p>\n<p>Question 4.<br \/>\nType below:<br \/>\n________________<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Graph the linear equation.<\/strong><\/p>\n<p>Question 5.<br \/>\ny = x + 1<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7344\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-30-300x216.jpg\" alt=\"Go math grade 6 chapter 9 answer key img-30\" width=\"300\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-30-300x216.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-30.jpg 336w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\ny = 2x \u2212 1<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7345\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-31-300x216.jpg\" alt=\"Go math grade 6 chapter 9 answer key img-31\" width=\"300\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-31-300x216.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-31.jpg 336w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\nIdentify Relationships The graph shows the number of loaves of bread y that Kareem bakes in x hours. Write the linear equation for the relationship shown by the graph.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-48.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 48\" width=\"236\" height=\"241\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe ordered pairs are (1,1), (2,2), (4,4), (5,5)<br \/>\nLook for a pattern among the pairs: each y value is the same as the corresponding x-value.<br \/>\nThe equation is y = x<br \/>\ny = x<\/p>\n<h3><a id=\"Problem_Solving_+_Applications_Page_No_520\"><\/a>Problem Solving + Applications &#8211; Page No. 520<\/h3>\n<p><strong>The graph shows the growth of a bamboo plant. Use the graph for 8\u20139.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-49.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 49\" width=\"218\" height=\"274\" \/><\/p>\n<p>Question 8.<br \/>\nWrite a linear equation for the relationship shown by the graph. Use your equation to predict the height of the bamboo plant after 7 days.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nWrite the ordered pairs from the graph: (1,50), (2,100), (3,150), (4,200), (5,250).<br \/>\nLook for a pattern among the pairs: each y value is 50 times the corresponding x value.<br \/>\nThe equation is y = 50x<br \/>\nFor x = 7, the solution is y = 50 \u00d7 7 = 350.<br \/>\nSo, the height of the bamboo plant after 7 days will be 350 centimeters.<\/p>\n<p>Question 9.<br \/>\nThe height y in centimeters of a second bamboo plant is given by the equation y = 30x, where x is the time in days. Describe how the graph showing the growth of this plant would compare to the graph showing the growth of the first plant.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: The line of the graph for the second plant would be less steep than the line of the graph for the first plant.<\/p>\n<p>Question 10.<br \/>\nMaria graphed the linear equation y = x + 3. Then she used her ruler to draw a vertical line through the point (4, 0). At what point do the two lines intersect?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\ny = x + 3<br \/>\ny = 4 + 0 = 4<br \/>\ny = 4 + 3 = 7<br \/>\nThe coordinate is (4, 7)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7346\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-32-300x216.jpg\" alt=\"Go math grade 6 chapter 9 answer key img-32\" width=\"300\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-32-300x216.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-math-grade-6-chapter-9-answer-key-img-32.jpg 336w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\nAntonio claims the linear equation for the relationship shown by the graph is y = \\(\\frac{1}{2}\\)x + 2. Use numbers and words to support Antonio\u2019s claim.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-50.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 50\" width=\"269\" height=\"270\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe ordered pairs (2,3) and (6,5) on the line make the equation.<br \/>\ny = \\(\\frac{1}{2}\\)x + 2<br \/>\ny = 1\/2 \u00d7 2 + 2<br \/>\ny = 1 + 2 = 3<br \/>\ny = 1\/2 \u00d7 6 + 2<br \/>\ny = 3 + 2 = 5<\/p>\n<h3><a id=\"Equations_and_Graphs_Page_No_521\"><\/a>Equations and Graphs &#8211; Page No. 521<\/h3>\n<p><strong>Graph the linear equation.<\/strong><\/p>\n<p>Question 1.<br \/>\ny = x \u2212 3<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7334\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-22-300x226.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-22\" width=\"300\" height=\"226\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-22-300x226.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-22.jpg 321w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\ny = x \u00f7 3<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7335\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-23-300x214.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-23\" width=\"300\" height=\"214\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-23-300x214.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-23.jpg 340w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Write a linear equation for the relationship shown by the graph.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-51.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 51\" width=\"271\" height=\"271\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nBy seeing the above graph we can say that the equation is<br \/>\ny = x + 1<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-52.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 52\" width=\"273\" height=\"276\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe ordered pairs are (1,4), (1.5,6), (2,8)<br \/>\nBy seeing the above pairs we can say that the equation is y = 4x<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 5.<br \/>\nDee is driving at an average speed of 50 miles per hour. Write a linear equation for the relationship that gives the distance y in miles that Dee drives in x hours.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: y = 50x<\/p>\n<p>Explanation:<br \/>\nDee is driving at an average speed of 50 miles per hour.<br \/>\ny represents the distance in miles<br \/>\nx is the number of hours.<br \/>\ny is equal to the product of 50 and x.<br \/>\ny = 50x<\/p>\n<p>Question 6.<br \/>\nGraph the relationship from Exercise 5.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7336\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-24-300x188.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-24\" width=\"300\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-24-300x188.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-24.jpg 671w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\nExplain how to write a linear equation for a line on a graph.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nTo write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.<\/p>\n<h3><a id=\"Lesson_Check_Page_No_522\"><\/a>Lesson Check &#8211; Page No. 522<\/h3>\n<p>Question 1.<br \/>\nA balloon rises at a rate of 10 feet per second. What is the linear equation for the relationship that gives the height y in feet of the balloon after x seconds?<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: The linear equation for the relationship is y = 10x<\/p>\n<p>Question 2.<br \/>\nWrite the linear equation that is shown by the graph.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-53.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 53\" width=\"268\" height=\"274\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nWrite the ordered pairs from the graph: (3,3), (5,5), (8,8)<br \/>\nLook for a pattern among the pairs: each y value is the same as the corresponding x-value.<br \/>\nThe equation is y = x<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nOf the three expressions shown, which two are equivalent?<br \/>\n3 + 2(9 + 2n)\u00a0 \u00a0 \u00a07(3 + 4n)\u00a0 \u00a0 \u00a0 \u00a0 \u00a021 + 4n<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n3 + 2(9 + 2n) = 3 + 18 + 4n = 21 + 4n<br \/>\n7(3 + 4n) = 21 + 28n<br \/>\nThus \u00a021 + 4n and 3 + 2(9 + 2n) are equivalent.<\/p>\n<p>Question 4.<br \/>\nWhich of the following are solutions of j \u2265 0.6?<br \/>\nj = 1\u00a0 \u00a0 \u00a0 j = <sup>&#8211;<\/sup>0.6\u00a0 \u00a0 \u00a0 \u00a0j = \\(\\frac{3}{5}\\)\u00a0 \u00a0 \u00a0 \u00a0j = 0.12\u00a0 \u00a0 \u00a0 \u00a0 j = 0.08<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: j = \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\nSubstitute the values of j in the inequality.<br \/>\nj = 1<br \/>\n1 \u2265 0.6<br \/>\n1 is greater than 0.6 but not equal.<br \/>\nThus 1 is not the solution of j \u2265 0.6.<br \/>\nj = <sup>&#8211;<\/sup>0.6<br \/>\n-0.6 \u2265 0.6<br \/>\n-0.6 is less than 0.6<br \/>\nThus -0.6 is not the solution of j \u2265 0.6.<br \/>\nj = \\(\\frac{3}{5}\\)<br \/>\n\\(\\frac{3}{5}\\) \u2265 0.6<br \/>\n\\(\\frac{3}{5}\\) = 0.6<br \/>\n0.6 \u2265 0.6<br \/>\nThus \\(\\frac{3}{5}\\) is the solution.<br \/>\nj = 0.12<br \/>\n0.12 \u2265 0.6<br \/>\n0.12 is less than 0.6.<br \/>\nThus 0.12 is not the solution of j \u2265 0.6.<br \/>\nj = 0.08<br \/>\n0.08 \u2265 0.6<br \/>\n0.08 is less than 0.6.<br \/>\nThus 0.08 is not the solution of j \u2265 0.6.<\/p>\n<p>Question 5.<br \/>\nRed grapes cost $2.49 per pound. Write an equation that shows the relationship between the cost c in dollars and the number of pounds of grapes p.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = 2.49p<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nRed grapes cost $2.49 per pound.<br \/>\nc is the cost in dollars.<br \/>\np is the number of pounds of grapes.<br \/>\nThe equation c is equal to the product of the number of pounds of grapes and $2.49<br \/>\nc = 2.49p<\/p>\n<p>Question 6.<br \/>\nIt costs $8 per hour to rent a bike. Niko graphs this relationship using x for number of hours and y for total cost in dollars. Write an ordered pair that is a point on the graph of the relationship.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: (5,40)<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nIt costs $8 per hour to rent a bike.<br \/>\nNiko graphs this relationship using x for the number of hours and y for the total cost in dollars.<br \/>\ny = 8x<\/p>\n<h3><a id=\"Chapter_9_Review_Test_Page_No_523\"><\/a>Chapter 9 Review\/Test &#8211; Page No. 523<\/h3>\n<p>Question 1.<br \/>\nA box of peanut butter crackers contains 12 individual snacks. The total number of individual snacks s is equal to 12 times the number of boxes of crackers b.<br \/>\nThe independent variable is _____.<br \/>\nThe dependent variable is _____.<br \/>\nThe equation that represents the relationship between the variables is _____.<\/p>\n<p>Answer:<br \/>\nThe independent variable is b.<br \/>\nThe dependent variable is s.<br \/>\nThe equation that represents the relationship between the variables is s = 12b.<\/p>\n<p>Question 2.<br \/>\nA stationery store charges $8 to print logos on paper purchases. The total cost c is the price of the paper p plus $8 for printing the logo.<br \/>\nFor numbers 2a\u20132d, select True or False for each statement.<br \/>\n2a. The total cost c depends on the price of the paper.<br \/>\n2b. c is the dependent variable.<br \/>\n2c. p is the independent variable.<br \/>\n2d. The equation that represents the relationship between the variables is c = 8p.<br \/>\n2a. ____________<br \/>\n2b. ____________<br \/>\n2c. ____________<br \/>\n2d. ____________<\/p>\n<p>Answer:<br \/>\n2a. True<br \/>\n2b. True<br \/>\n2c. True<br \/>\n2d. False<\/p>\n<p>Explanation:<br \/>\n2a. c represents the relationship between the two quantities.<br \/>\nSo, the statement &#8220;The total cost c depends on the price of the paper&#8221; is true.<br \/>\n2b. c is the total cost so the statement &#8220;c is the dependent variable&#8221; is true.<br \/>\n2c. p represents the price to print logos<br \/>\nSo, the statement &#8220;p is the independent variable&#8221; is true.<br \/>\n2d. The total cost c is the price of the paper p plus $8 for printing the logo.<br \/>\nThe equation would be:<br \/>\nc = 8 + p<br \/>\nThus the statement &#8220;The equation that represents the relationship between the variables is c = 8p&#8221; is false.<\/p>\n<p>Question 3.<br \/>\nAn electrician charges $75 an hour for labor and an initial fee of $65. The total cost c equals 75 times the number of hours x plus 65. Write an equation for the relationship and use the equation to complete the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-54.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 54\" width=\"239\" height=\"153\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: c = 75x + 65<br \/>\nSubstitute the value of x in the equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7241\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-54-1.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-54\" width=\"239\" height=\"153\" \/><\/p>\n<h3><a id=\"Chapter_9_Review_Test_Page_No_524\"><\/a>Page No. 524<\/h3>\n<p>Question 4.<br \/>\nThe community center offers classes in arts and crafts. There is a registration fee of $125 and each class costs $79. The total cost c in dollars equals 79 times the number of classes n plus 125.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-55.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 55\" width=\"321\" height=\"184\" \/><br \/>\nFor numbers 4a\u20134d, select True or False for each statement.<br \/>\n4a. The registration fee is $120.<br \/>\n4b. n is the independent variable.<br \/>\n4c. c is the dependent variable.<br \/>\n4d. The cost for 7 classes is $678.<br \/>\n4a. ____________<br \/>\n4b. ____________<br \/>\n4c. ____________<br \/>\n4d. ____________<\/p>\n<p>Answer:<br \/>\n4a. False<br \/>\n4b. True<br \/>\n4c. True<br \/>\n4d. True<\/p>\n<p>Explanation:<br \/>\n4a. The registration fee is $120.<br \/>\nThe registration fee is $125, not $120.<br \/>\nSo, the statement is false.<br \/>\n4b. n is the independent variable.<br \/>\nn represents the number of classes.<br \/>\nThe statement is true.<br \/>\n4c. c is the dependent variable.<br \/>\nc depends on the registration fee.<br \/>\nThus the statement is true.<br \/>\n4d. The cost for 7 classes is $678<br \/>\n79 \u00d7 7 + 125 = $678<br \/>\nThus the statement is true.<\/p>\n<p>Question 5.<br \/>\nMs. Walsh is buying calculators for her class. The table shows the total cost based on the number of calculators purchased.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-56.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 56\" width=\"451\" height=\"82\" \/><br \/>\nIf Ms. Walsh spent a total of $525, how many calculators did she buy? Use numbers and words to explain your answer.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nShe bought 35 calculators. I found a pattern and wrote the equation c = 15n.<br \/>\nSince I know that Mrs.Walsh spent a total of $525, I can substitute 525 for c and solve for n<br \/>\n525 = 15n<br \/>\nn = 35<\/p>\n<h3><a id=\"Chapter_9_Review_Test_Page_No_525\"><\/a>Chapter 9 Review\/Test &#8211; Page No. 525<\/h3>\n<p>Question 6.<br \/>\nThe table shows the number of cups of lemonade that can be made from cups of lemon juice.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-57.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 57\" width=\"431\" height=\"83\" \/><br \/>\nMary Beth says the number of cups of lemon juice j depends on the number of cups of lemonade l. She says the equation j = 7l represents the relationship between the cups of lemon juice j and the cups of lemonade l. Is Mary Beth correct? Use words and numbers to explain why or why not.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nMary Beth is not correct. The number of cups of lemonade l depends on the number of cups of lemon juice j.<br \/>\nSo l is the dependent variable and j is the independent variable.<br \/>\nThe equation showing the relationship is l = 7j<\/p>\n<p>Question 7.<br \/>\nFor numbers 7a\u20137d, choose Yes or No to indicate whether the points, when graphed, would lie on the same line.<br \/>\n7a. (1, 6), (2, 4), (3, 2), (4, 0)<br \/>\n7b. (1, 1), (2, 4), (3, 9), (4, 16)<br \/>\n7c. (1, 3), (2, 5), (3, 7), (4, 9)<br \/>\n7d. (1, 8), (2, 10), (3, 12), (4, 14)<br \/>\n7a. ____________<br \/>\n7b. ____________<br \/>\n7c. ____________<br \/>\n7d. ____________<\/p>\n<p>Answer:<br \/>\n7a. Yes<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7242\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-2.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-2\" width=\"209\" height=\"242\" \/><br \/>\n7b. No<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7243\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-3.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-3\" width=\"209\" height=\"242\" \/><br \/>\n7c. Yes<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7244\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-4.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-4\" width=\"209\" height=\"242\" \/><br \/>\n7d. Yes<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7245\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-5.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-5\" width=\"209\" height=\"242\" \/><\/p>\n<p>Question 8.<br \/>\nGraph the relationship represented by the table to find the unknown value.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-58.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 58\" width=\"431\" height=\"84\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: 10<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7247\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-6-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-6\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-6-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-6-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-6.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Chapter_9_Review_Test_Page_No_526\"><\/a>Chapter 9 Review\/Test &#8211; Page No. 526<\/h3>\n<p>Question 9.<br \/>\nGraph the relationship represented by the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-59.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 59\" width=\"433\" height=\"85\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7250\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-7-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-7\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-7-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-7-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-7.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 10.<br \/>\nMiranda&#8217;s wages are $15 per hour. Write a linear equation that gives the wages w in dollars that Miranda earns in h hours.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: w = 15h<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7251\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-8-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-8\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-8-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-8-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-8.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\nThe table shows the number of miles m that Lucinda could walk in h hours.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-60.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 60\" width=\"433\" height=\"84\" \/><br \/>\nGraph the relationship between hours h and miles m. Then write the equation that shows the relationship.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: m = 4h<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7252\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-9-300x300.jpg\" alt=\"Go Math Grade 6 Chapter 9 answer key img-9\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-9-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-9-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Chapter-9-answer-key-img-9.jpg 612w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Chapter_9_Review_Test_Page_No_527\"><\/a>Chapter 9 Review\/Test &#8211; Page No. 527<\/h3>\n<p>Question 12.<br \/>\nDelonna walks 4 miles per day for exercise. The total number of miles m she walks equals 4 times the number of days d she walks.<br \/>\nWhat is the dependent variable?<br \/>\nWhat is the independent variable?<br \/>\nWrite the equation that represents the relationship between the m and d.<br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nThe equation is m = 4d<br \/>\nm is the dependent variable<br \/>\nd is the independent variable.<\/p>\n<p>Question 13.<br \/>\nLacy is staying at a hotel that costs $85 per night. The total cost c in dollars of Lacy\u2019s stay is 85 times the number of nights n she stays.<br \/>\nFor numbers 13a\u201313d, select True or False for each statement.<br \/>\n13a. The number of nights n is dependent on the cost c.<br \/>\n13b. n is the independent variable.<br \/>\n13c. c is the dependent variable.<br \/>\n13d. The equation that represents the total cost is c = 85n.<br \/>\n13a. ____________<br \/>\n13b. ____________<br \/>\n13c. ____________<br \/>\n13d. ____________<\/p>\n<p>Answer:<br \/>\n13a. False<br \/>\n13b. True<br \/>\n13c. True<br \/>\n13d. True<\/p>\n<p>Explanation:<br \/>\n13a. The number of nights n is dependent on the cost c.<br \/>\nn is independent on the cost c.<br \/>\nSo, the statement is false.<br \/>\n13b. n is the independent variable.<br \/>\nThe statement is true.<br \/>\n13c. c is the dependent variable.<br \/>\nc is dependent because it depends on the cost c.<br \/>\nSo, the statement is true.<br \/>\n13d. The equation that represents the total cost is c = 85n.<br \/>\nThe equation is true.<\/p>\n<p>Question 14.<br \/>\nA taxi cab company charges an initial fee of $5 and then $4 per mile for a ride. Use the equation c = 4x + 5 to complete the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-61.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 61\" width=\"321\" height=\"183\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nSubstitute the value of x in the equation.<br \/>\nWe get,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7253\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-61-1-300x171.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-61\" width=\"300\" height=\"171\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-61-1-300x171.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-61-1.jpg 321w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Chapter_9_Review_Test_Page_No_528\"><\/a>Chapter 9 Review\/Test &#8211; Page No. 528<\/h3>\n<p>Question 15.<br \/>\nA grocery display of cans is arranged in the form of a pyramid with 1 can in the top row, 3 in the second row from the top, 5 in the third row, and 7 in the fourth row. The total number of cans c equals 2 times the row r minus 1. Use the equation c = 2r \u2212 1 to complete the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-62.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 62\" width=\"320\" height=\"153\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer:<br \/>\nA grocery display of cans is arranged in the form of a pyramid with 1 can in the top row, 3 in the second row from the top, 5 in the third row, and 7 in the fourth row.<br \/>\nc = 2r \u2212 1<br \/>\nSubstitute r in the equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7234\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-62-1-300x143.jpg\" alt=\"Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-62\" width=\"300\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-62-1-300x143.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-62-1.jpg 320w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 16.<br \/>\nThe graph shows the number of words Mason read in a given amount of minutes. If Mason continues to read at the same rate, how many words will he have read in 5 minutes?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-63.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 63\" width=\"340\" height=\"314\" \/><br \/>\n______ words<\/p>\n<p>Answer: 1000 words<br \/>\nBy seeing the above graph we can say that Mason can read 1000 words in 5 minutes.<\/p>\n<p>Question 17.<br \/>\nCasey claims the linear equation for the relationship shown by the graph is c = 25j. Use numbers and words to support Casey&#8217;s claim.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-9-Independent-and-Dependent-Variables-img-64.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables img 64\" width=\"271\" height=\"252\" \/><br \/>\nType below:<br \/>\n________________<\/p>\n<p>Answer: The ordered pairs (1,25), (3,75), (5,125) and (7,175) each make the equation c = 25j<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>I wish the details prevailed in the Go Math Grade 6 Answer Key Chapter 9 is helpful for you. Share this pdf link with your friends and help them to overcome the difficulties. If you have any doubts regarding the solutions you can leave a comment in the comment section.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Download Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables pdf for free of cost. It is very important for the students to learn the fundamentals at the secondary level. In order to help you guys, we are providing the answers to all the questions in HMH Go Math Grade 6 Chapter &#8230; <a title=\"Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-6-answer-key-chapter-9-independent-and-dependent-variables\/\" aria-label=\"More on Go Math Grade 6 Answer Key Chapter 9 Independent and Dependent Variables\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8826,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-6-chapter-9-independent-and-dependent-variables-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/5210"}],"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\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=5210"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/5210\/revisions"}],"predecessor-version":[{"id":92739,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/5210\/revisions\/92739"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8826"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=5210"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=5210"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=5210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}