Ratios and Proportional Relationships (7.RP.A.1-3)

Which equation has a constant of proportionality equal to 6?

• 6y = 6x

• 6y = 18x

• 5y = 6x

• 5y = 30x

A man traveled 1/3 of the distance between two cities in 3/4 of an hour. At this rate, how many hours will it take him to travel the entire distance between the two cities?

• 3/12

• 4/9

• 2 1/4

• 4

Which relationships have the same constant of proportionality between y and x as in the equation y = 1/2x? Select all that apply.

• [Graph of y vs x]

• [Graph of y vs x]

• x: -2, 0, 5, 7; y: -4, 0, 10, 14

• [Graph of y vs x]

• x: -9, 7.8, 11; y: -4.5, 3.9, 5.5

This graph shows the relationship between the pounds of candy bought at the Sugar Shack and the total cost, in dollars. Which statements are true. Select all that apply.

• A. Point (0,0) shows the cost is $0 for 0 pounds of candy.

• B. Point (0.25, 4) shows the cost is $0.25 for 4 pounds of candy.

• C. Point (0.5, 8) shows that 0.5 pounds of candy costs $8.00.

• D. Point (1, 16) shows that the cost is $16 for 1 pound of candy.

Estimate the number of servings that can be dispensed from the juice dispenser before it needs to be refilled. Show or explain each step you used when finding your estimate.

• The number of servings that can be dispensed from the juice dispenser before it needs to be refilled is 20.

• The number of servings that can be dispensed from the juice dispenser before it needs to be refilled is 10.

• The number of servings that can be dispensed from the juice dispenser before it needs to be refilled is 50.

• The number of servings that can be dispensed from the juice dispenser before it needs to be refilled is 5.

A store owner paid $18 for a book. She marked up the price of the book by 40% to determine the selling price. What is the selling price, in dollars, of the book?

• $25.20

• $24.00

• $20.00

• $18.40

A customer buys a different book that has an original selling price of $28. The book has been discounted 25%. The customer pays 7% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book?

• $22.47

• $20.00

• $21.40

• $23.00

A worker at the zoo calculates the amount of fish, in pounds, needed in the weekly diet of an eagle and a bear. The eagle eats 6 pounds of food each week and 60% of that weight must be fish. The bear eats 105 pounds of food each week and 25% of that weight must be fish. What is the total amount of fish, in pounds, that the eagle and bear should eat each week? Round your answer to the nearest hundredth of a pound.

• 33.60 pounds

• 27.50 pounds

• 45.00 pounds

• 18.90 pounds

The zoo increases the amount of food that the bear eats each week to 115 pounds. What is the percent of increase in the amount of food that the bear eats each week? Round your answer to the nearest tenth of a percent. Percent of Change = amount of change / original amount

• 9.5%

• 12.3%

• 7.8%

• 15.0%

A right triangle has legs measuring 2.5 inches and 3.5 inches. The lengths of the legs of a second triangle are proportional to the lengths of the first triangle. Which could be the lengths of the legs of the second triangle? Select each correct pair.

• 10 in and 14 in

• 5.5 in and 8.5 in

• 7.5 in and 10.5 in

• 3 in and 4.2 in

• 3.75 in and 5.25 in