Question

Which of the following scenarios describe proportional relationships?

A. A punch recipe requires 8 ounces of sorbet for each gallon of lemon-lime soda.
B. The bakery sells doughnuts at $2.75 for each 1/2 dozen.
C. Jon earns 7 hours of vacation time for each 80 hours he works.
D. Cicely swims 5 kilometers on Wednesday, 10 kilometers on Thursday, and 7 kilometers on Friday.

A. A and B
B. B and C
C. A, C, and D
D. All of the above

Answer 1

Proportional relationships are described as situations where the ratio between two quantities remains constant. Scenario A, C, and D are examples of proportional relationships.

Step-by-step explanation:

Proportional relationships describe situations where the ratio between two quantities remains constant. Looking at the provided scenarios:

A. A punch recipe requiring 8 ounces of sorbet for each gallon of lemon-lime soda is a proportional relationship because as the amount of soda increases, the amount of sorbet also increases.

B. The bakery selling doughnuts at $2.75 for each ½ dozen is not a proportional relationship because the price of doughnuts does not change proportionally with the quantity purchased.

C. Jon earning 7 hours of vacation time for each 80 hours worked is a proportional relationship because for every 80 hours worked, Jon earns 7 hours of vacation time.

D. Cicely swimming 5 kilometers on Wednesday, 10 kilometers on Thursday, and 7 kilometers on Friday is not a proportional relationship because the distances swum are not changing at a consistent rate.

Therefore, the correct answer is option C. A, C, and D.