## 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.
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.
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).

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

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?
3: 5

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

Dave can clean 6 pools in 10 hours.

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

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?
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?

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?

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?
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?

 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?

 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?
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?
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?
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?
Tiffany is filling her daughter’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.