## Engage NY Eureka Math 6th Grade Module 1 Lesson 16 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 16 Example Answer Key

Example: Introduction to Rates and Unit Rates

Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.

a. How much do 2 packs of diet cola cost?

Answer:

2 packs of diet cola cost $5.00.

b. How much does 1 pack of diet cola cost?

Answer:

1 pack of diet cola cost $2.50.

### Eureka Math Grade 6 Module 1 Lesson 16 Problem Set Answer Key

The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals while grocery shopping; however, the Scott family needs help determining which stores have the better deals.

Question 1.

At Grocery Mart, strawberries cost $2. 99 for 2 lb., and at Baldwin Hills Market strawberries are $3. 99 for 3 lb.

a. What is the unit price of strawberries at each grocery store? If necessary, round to the nearest penny.

Answer:

Grocery Mart: $1.50 per pound (1.495 rounded to the nearest penny)

Baldwin Hills Market: $1.33 per pound

b. If the Scott family wanted to save money, where should they go to buy strawberries? Why?

Answer:

Possible Answer: The Scott family should go to Baldwin Hills Market because the strawberries cost less money there than at Grocery Mart.

Question 2.

Potatoes are on sale at both Grocery Mart and Baldwin Hills Market. At Grocery Mart, a 5 lb. bag of potatoes cost $2.85, and at Baldwin Hills Market a 7 lb. bag of potatoes costs $4. 20. Which store offers the best deal on potatoes? How do you know? How much better is the deal?

Answer:

Grocery Mart: $0. 57 per pound

Baldwin Hills Market: $0.60 per pound

Grocery Mart offers the best deal on potatoes because potatoes cost $0.03 less per pound at Grocery Mart when compared to Baldwin Hills Market.

### Eureka Math Grade 6 Module 1 Lesson 16 Exit Ticket Answer Key

Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1, 700 meters in 40 minutes.

a. What is Angela’s unit rate?

Answer:

42.5

b. What is the rate unit?

Answer:

Meters per minute

### Eureka Math Grade 6 Module 1 Lesson 16 Exploratory Challenge Answer Key

a. Teagan went to Gamer Realm to buy new video games. Gamer Realm was having a sale: $65 for 4 video games. He bought 3 games for himself and one game for his friend, Diego, but Teagan does not know how much Diego owes him for the one game. What is the unit price of the video games? What is the rate unit?

Answer:

The unit price is $16.25; the rate unit is dollars/video game.

b. Four football fans took turns driving the distance from New York to Oklahoma to see a big game. Each driver set the cruise control during his or her portion of the trip, enabling him or her to travel at a constant speed. The group changed drivers each time they stopped for gas and recorded their driving times and distances in the table below.

Fan | Distance (miles) | Time (hours) |

Andre | 208 | 4 |

Matteo | 456 | 8 |

Janaye | 300 | 6 |

Greyson | 265 | 5 |

Use the given data to answer the following questions.

i. What two quantities are being compared?

Answer:

The two quantities being compared are distance and time, which are measured in miles and hours.

ii. What is the ratio of the two quantities for Andre’s portion of the trip? What is the associated rate?

Answer:

Andre’s ratio: 208:4 Andre’s rate: 52 miles per hour

iii. Answer the same two questions in part (iii) for the other three drivers.

Answer:

Matteo’s ratio: 456:8 Matteo’s rate: 57 miles per hour

Janaye’s ratio: 300:6 Janaye’s rate: 50 miles per hour

Greyson’s ratio: 265:5 Greyson’s rate: 53 miles per hour

iv. For each driver In parts (II) and (III), circle the unit rate, and put a box around the rate unit.

Answer:

If one of these drivers had been chosen to drive the entire distance.

Which driver would have gotten them to the game in the shortest time? Approximately how long would this trip have taken?

c. A publishing company Is looking for new employees to type novels that will soon be published. The publishing company wants to find someone who can type at least 45 words per minute. Dominique discovered she can type at a constant rate of 704 words in 16 minutes. Does Dominique type at a fast enough rate to qualify for the job? Explain why or why not.

Answer:

Dominique does not type at a fast enough rate because she only types 44 words per minute.