Rate, Ratio & Proportion Unit Test Review

At a family reunion there are 24 adults and 36 kids. Which of the following is not a correct way to represent the ratio of these two quantities?

• 2 adults to 3 kids

• 12 adults to 20 kids

• 3 kids to 2 adults

• 6 kids to 4 adults

Wood is being cut such that the number of boards, B, is proportional to the number of minutes, m, that the wood is being chopped. If 46 boards are cut in 4 minutes, then which expression below gives the number of boards cut in 31 minutes?

Chicken costs $2.99 per pound. What equation is used to find C, the total cost of p, pounds of chicken?

Two variables are proportionally related with a constant of proportionality, k. Which of the following points must lie on the graph of this relationship?

• (k.1)

• (1,k)

• (0,k)

• (k,0)

Answer explanation

The constant of proportionality is the unit rate! The unit rate can always be found on the graph by "looking above the 1". Therefore, it is always described by the point (1, unit rate).

Colin's salary is proportional to the number of hours he works. He earned $851 for 37 hours of work. Which of the following is the constant of proportionality?

• $23 per hour

• $19 per hour

• 4 hours per dollar

• 31487 hours per dollar

The weight of a retaining wall, w, is proportional to the number of bricks, b, used to construct it. Which of the following is the missing value in the table?

• 7.2

• 18

• 24

• 20

• 13

• 15

• 52

An employee is loading pumpkins into a truck. After loading 14 pumpkins, the total weight of the pumpkins is 182 pounds. If the weight of the pumpkins is proportional to the number of pumpkins loaded, then how many pounds are in the truck after 23 pumpkins have been loaded?

• 111

• 1046.5

• 299

• 315