Module 1 Proportional Reasoning Review

Multiple Choice

The number of teaspoons of different colors of sugar used to decorate cookies is shown in the table. Which color of sugar has a proportional relationship with the number of cookies decorated?

• blue sugar

• green sugar

• purple sugar

• red sugar

Multiple Choice

Brooke is making fresh-squeezed orange juice. The table below shows the relationship between the number of oranges she uses and the amount of juice in ounces that she makes. Which equation represents the relationship between x an y?

• y=(1/4)x

• y=(1/2)x

• y=2x

• y=4x

Multiple Choice

A horse can run at a top speed of 18 ⅕  miles in 1/3 hour. What is the unit rate of the top running speed of a horse in miles per hour (mph)?

• 21 1/5 mph

• 36 2/5 mph

• 54 3/5 mph

• 74 4/5 mph

Open Ended

The graph below shows the proportional relationship between the number of days it snowed during a recent blizzard, x, and the amount of snow that fell in inches, y. What does the point (3,18) represent?

Open Ended

Keshawn is playing his favorite video game. The graph shows the number of levels Keshawn already completed, x, and the total points he earned, y, while playing the game. Write an equation in the form of 

y = kx  that can be used to model the relationship.

Open Ended

The graph shows a proportional relationship. What is the constant of proportionality (k)?

Open Ended

A park district is building an outdoor tennis court based on a scale drawing that measures 30cm long by 13.75cm and uses the scale 1cm:0.8m. What is the area of the actual tennis court in square meters?

Open Ended

The number of pages Juan reads over time is shown in the table below. 

Part A. What is Juan’s rate of reading?

Part B. Lexi reads at a rate of 48 pages per hour. What is the difference in the number of pages Lexi and Juan will read in 7 hours?

Open Ended

The amount of money Irene earns for walking dogs is shown in the table. How much money does she earn for walking 15 dogs?

Open Ended

Sandy Island Beach is building a new Snack Shack based on a scale drawing that is 20 centimeters by 60 centimeters and uses the scale 1 cm : 1.5 m.

A. Write an equation for the proportional relationship between a drawing length x, in centimeters, and a building length y, in meters.

B. What is the length and width of the actual Snack Shack?

C. What is the actual area of the snack shack?