AnswersHCISD-Mathematical Models with Applications B-CR SUMMERFinding a Constant of Proportionality

Applications of Unit Rates Answers

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Julia is in charge of buying clothing in bulk for a sporting goods store. The table shows the unit prices of the items she intends to buy.Unit Prices of Clothing Items for a Sporting Goods StoreItemUnit PriceT-shirts$7.50Shorts$9.00Windbreakers$12.25If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?

A
$958.75
B
$973.75
C
$1,021.25
D
$1,038.75
2
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A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?

A
14
B
24
C
28
D
56
3

Which size bottle of ketchup is the best deal with the lowest unit price?Prices for Different Sizes of Bottles of KetchupSize BottlePrice10 oz.$2.5014 oz.$2.8016 oz.$4.0018 oz.$5.40

A
10 oz.
B
14 oz.
C
16 oz.
D
18 oz.
4

Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?

A
11
B
17
C
33
D
99
5

Kareem inserted 2 quarters into a dryer at a laundromat, and the dryer ran for 12 minutes. At this rate, for how long would the dryer have run if Kareem had inserted 8 quarters instead?

A
16 minutes
B
18 minutes
C
48 minutes
D
96 minutes
6

Susan can read 72 words in of a minute. Which statement is correct?

Question illustration
A
She can read 24 words per minute, because 72 divided by is equal to 24.
Option A
B
She can read 24 words per minute, because 72 times is equal to 24.
Option B
C
She can read 216 words per minute, because 72 divided by is equal to 216.
Option C
D
She can read 216 words per minute, because 72 times is equal to 216.
Option D
7

Which represents a unit rate?

A
The cost of cat food is $36 per 3 bags.
B
The cost of orange juice is $3 per jug.
C
The cost of photocopies is $1 per 10 pages.
D
The cost of roses is $50 per 2 dozen.
8

Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct?

A
She met her goal, because she made less than $75 on coffee today.
B
She met her goal, because she made more than $75 on coffee today.
C
She missed her goal, because she made less than $75 on coffee today.
D
She missed her goal, because she made more than $75 on coffee today.
9

A motorist is pumping gas into his car at a rate of of a gallon every of a minute. At this rate, how many gallons of gas will he have pumped into his car in of a minute?

Question illustration
A
1
B
5
C
10
D
20
10

It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?

A
By dividing 35 by 7.
B
By multiplying 35 by 7.
C
By finding the unit rate and dividing it by 7.
D
By finding the unit rate and multiplying it by 7.
11

A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following.1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute.2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct?

A
Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.
B
Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.
C
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
D
Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.
12

Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 problems in 3 hours. What is the unit rate for all 24 problems?

A
4 problems per hour
B
6 problems per hour
C
8 problems per hour
D
12 problems per hour

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