## Engage NY Eureka Math 6th Grade Module 1 Lesson 17 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 17 Example Answer Key

Example 1

Write each ratio as a rate.

a. The ratio of miles to the number of hours is 434 to 7.

Answer:

Miles to hour: 434: 7

Student responses: \(\frac{434}{7} \frac{\text { miles }}{\text { hours }}\) = 62 miles/hour

b. The ratio of the number of laps to the number of minutes is 5 to 4.

Answer:

Laps to minute: 5:4

Student responses: \(\frac{5}{4} \frac{\text { laps }}{\text { minutes }}=\frac{5}{4}\) laps/mm

Example 2.

a. Complete the model below using the ratio from Example 1, part (b).

Answer:

b. Complete the model below now using the rate listed below.

Answer:

Examples 3.

Dave can clean pools at a constant rate of pools/hour.

a. What is the ratio of the number of pools to the number of hours?

Answer:

3: 5

b. How many pools can Dave clean in 10 hours?

Answer:

Dave can clean 6 pools in 10 hours.

c. How long does it take Dave to clean 15 pools?

Answer:

It will take Dave 25 hours to clean 15 pools.

Example 4.

Emeline can type at a constant rate of \(\frac{1}{4}\) pages/minute.

a. What is the ratio of the number of pages to the number of minutes?

Answer:

1: 4

b. Emeline has to type a 5-page article but only has 18 minutes until she reaches the deadline. Does Emeline have enough time to type the article? Why or why not?

Answer:

No, Emeline will not have enough time because It will take her 20 minutes to type a 5-page article.

c. Emeline has to type a 7-page article. How much time will It take her?

Answer:

It will take Emeline 28 minutes to type a 7-page article.

Example 5.

Xavier can swim at a constant speed of \(\frac{5}{3}\) meters/second.

a. What is the ratio of the number of meters to the number of seconds?

Answer:

5: 3

b. Xavier is trying to qualify for the National Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?

Answer:

Meters | Seconds |

5 | 3 |

10 | 6 |

100 | 60 |

Xavier will not qualify for the meet because he would complete the race in 60 seconds.

c. Xavier is also attempting to qualify for the same meet in the 200-meter event. To qualify, Xavier would have to complete the race in 130 seconds. Will Xavier be able to qualify in this race? Why or why not?

Answer:

Meters | Seconds |

100 | 60 |

200 | 120 |

Xavier will qualify for the meet in the 200 meter race because he would complete the race in 120 seconds.

Example 6.

The corner store sells apples at a rate of 1. 25 dollars per apple.

a. What is the ratio of the amount in dollars to the number of apples?

Answer:

1.25: 1

b. Akia is only able to spend $10 on apples. How many apples can she buy?

Answer:

8 apples

c. Christian has $6 in his wallet and wants to spend it on apples. How many apples can Christian buy?

Answer:

Christian can buy 4 apples and would spend $5. 00. Christian cannot buy 5 apples because it would cost $6.25, and he only has $6.00.

### Eureka Math Grade 6 Module 1 Lesson 17 Problem Set Answer Key

Question 1.

Once a commercial plane reaches the desired altitude, the pilot often travels at a cruising speed. On average, the cruising speed is 570 miles/hour. If a plane travels at this cruising speed for 7 hours, how far does the plane travel while cruising at this speed?

Answer:

3,990 miles

Question 2.

Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at \(\frac{4}{5}\) inch/hour. If the snow continues at this rate for 10 hours, how much snow will accumulate?

Answer:

8 inches

### Eureka Math Grade 6 Module 1 Lesson 17 Exit Ticket Answer Key

Tiffany is filling her daughterâ€™s pool with water from a hose. She can fill the pool at a rate of \(\frac{1}{10}\) gallons/second. Create at least three equivalent ratios that are associated with the rate. Use a double number line to show your work.

Answer:

Answers will vary.