Kinah works in a bakery and is making peach pies. She makes 40 pies and uses 6 peaches for each pie. The number of peaches that she uses to make the pies is a function of the number of pies that she makes. Which of these statements describe the domain or range of this function? Select two that apply.

Question

A. The range is the set of all integers from 0 to 40.
B. The domain is the set of all integers from 0 to 40.
C. The range is the set of all multiples of 6 from 0 to 240.
D. The domain is the set of all multiples of 6 from 0 to 240.

Answer 1

In the context of the function representing the number of peaches used to make a certain number of pies, we can analyze the statements given.

1. Domain: This represents the input values of the function, which in this scenario refers to the number of pies Kinah can make. Since she can make anywhere from 0 to 40 pies, the domain is the set of all integers from 0 to 40. This aligns with statement B.

2. Range: This represents the output values of the function, reflecting the total number of peaches used based on the number of pies made. Since Kinah uses 6 peaches for each pie, the total number of peaches used will be a multiple of 6. If she makes 0 pies, she uses 0 peaches, and if she makes 40 pies, she uses 240 peaches (6 peaches x 40 pies). Therefore, the range consists of all multiples of 6 from 0 up to 240. This matches statement C.

Based on this analysis, the two statements that apply are:

B. The domain is the set of all integers from 0 to 40.
C. The range is the set of all multiples of 6 from 0 to 240.