Proportional Relationship Practice Quiz

City Carpet advertises that they can install 1,500 square feet of carpet in 2.5 hours. They

charge $40 per hour for a special install of 1,920 square feet. How much will they charge

to install 1,920 square feet?

• $128

• $160
• $192
• $240

Jana ran the first 3 miles of a 6-mile race in 1/3 hour. Which of these shows how to find

her average rate which is a proportional constant, in miles per hour, for this first part of the

race?

• Multiply 3 miles by 1/3 hour
• Divide 3 miles by 1/3 hour
• Add 3 miles to 1/3 hour
• Subtract 1/3 hour from 3 miles

Jenny is using a recipe to make a batch of fruit punch. The ingredients are listed in quarts

(qt) and she needs to convert them to liters (L). Use 1 qt ≈ 0.946 L. Complete the table to

determine the equivalent amounts. Round to the nearest tenth as needed.

8 qt orange juice

1 - (A) 14.2 (B) 7.6 (C) 11.4 L

12 qt cranbery juice

2 - (A) 14.2 (B) 8.5 (C) 11.4 L

16 qt lemon-lime soda

3 - (A) 15.3 (B) 8.5 (C) 11.4 L

The Smith family was taking a road trip. They traveled 420 miles in 6 hours. Write an

equation with a constant of proportionality relating their miles traveled, y, and the number

of hours, x.

Select all that apply.

The total cost to rent a canoe, based on the number of hours rented, is shown in the table for two canoe rentals.

Which statements are true? Select all that apply.

• The constant of proportionality for Kevin's Canoes, in cost per hour, is $10.99.

• The constant of proportionalilty for Lake City Canoes, in cost per hours, is $5.75.

• The relationship between hours and total cost is proportional for Kevin's Canoes.

• There is no constant of proportionality because neither relationship is proportional.

• The relationship between hours and total cost is proportional for Lake City Canoes.

Chris bought 5 boxes of cereal for $18.00. Which equation can be used to model a

constant of proportionality, the total cost, y, for x boxes of cereal?

• y = 5 + x

• x = 3.60y

• y = 3.60x

• xy = 3.60

Austin needs to buy 150 pounds of dog food for the local dog shelter. The graph shows the relationship between the number of bags of dog food and the total weight of the dog food at Pets Galore.

Another store, Healthy Pets, sells dog food in 50-pound bags for $86.49 per bag. If one bag of food from Pets Galore costs $47.50, how much would Austin save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?

• $237.50

• $86.49
• $21.97

• $259.47

The table shows the weight of an object on several planets, when the weight of that same object on Earth is 150 pounds.

Use proportional reasoning to find each related weight. Round to the nearest tenth.

Planet Weight (lb)
Jupiter 354.5

Mars 57

Neptune 168.7

Earth: 85 pounds; Mars: 1 - (A) 168.7 (B) 34.2 (C) 106.7 (D) 135.4 pounds

Neptune: 120 pounds; Earth: 2 - (A) 34.2 (B) 106.7 (C) 115.6 (D) 168.7 pounds

Jupiter: 320 pounds; Earth: 3 - (A) 139.6 (B) 115.6 (C) 106.7 (D) 34.2 pounds

The graph shows the total number of gallons used in 1, 2, 3, and 7 minutes.

What is the constant of proportionality?

• 2

• 10

• 5

• 15

A painter can paint 185 square feet per hour. She charges $0.60 per square foot. Today

she paints for 6.5 hours. How much will she charge?