Ratios, Rates and Proportions

Alan's dad encouraged him to save sports cards. They track the baseball and football cards they saved.

Which statement is true?

I. The number of baseball cards is 2/3 the number of football cards.

II. The number of football cards is 3/2 the number of baseball cards.

III. The number of baseball cards is 2/3 the number of total cards.

• I only

• I and II only

• II and III only

• All statements are true

In art class the kids are asked to create the color purple. Journey's group made the color purple using a 4:1 ratio of blue to red. Jacob's group made the color purple using a 3:2 ratio of blue to red. Which statement is true?

• Journey's group is more red than Jacob's group

• Jacob's group is more red than Journey's group

• Both groups color purple is equally red

• The two colors cannot be compared

The table and graph shows the relationship between the time worked and amount earned.

Which proportion can be used to find h, time worked, with amount earned of $160?

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Derek shot 24 baskets in 4 minutes. Dylan shot 48 baskets in 6 minutes. How many more baskets did Dylan shoot per minute?

• 8

• 6

• 14

• 2

A water tank is being filled at a rate of 12 gallons of water every ¼ of an hour. Find the unit rate in gallons per hour.

• 48

• 30

• 12

• 24

Mr. Geyer purchased gas for $3.32 per gallon. After leaving the gas station he travels 324 miles on 12 gallons of gas. If his car uses a constant rate, which best describes the number of miles traveled per gallon of gas?

• 98 mpg, because 3.32 gallons ÷ 324 miles = 98

• 27 mpg, because 324 miles ÷ 12 gallons = 27

• 98 mpg, because 324 miles ÷ 3.32 gallons = 98

• 27 mpg, because 12 gallons ÷ 324 miles = 27

Gavin hit 25 baseballs in 5 minutes. Greyson hit 18 baseballs in 6 minutes. How many more baseballs did Gavin hit per minute?

• 2

• 5

• 3

• 11

Reagan saves $36 of her monthly paycheck for a new cell phone. She earned $180 last month. What percentage of her paycheck did Reagan save?

• 40%

• 35%

• 20%

• 70%

Karis is shopping for a new pair of shoes that are regularly priced at $60 on sale for 35% off. Use a percent strip model to demonstrate how much money Karis saves by purchasing the jeans on sale. How much does Karis save?

• $25

• $21

• $32

• $30

Hunter counted the number of dogs and cats at the local animal shelter. The shaded model represents the percent of dogs counted at the shelter. If Hunter counted 70 dogs, how many animals are at the shelter?

• 115

• 120

• 126

• 125