Question

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.

Answer 1

In the context of the function where the number of peaches used to make the pies is dependent on the number of pies Kinah makes, we can describe the domain and range as follows:

1. **Domain**: The number of pies Kinah can make can be non-negative integers (0, 1, 2, ..., up to a practical limit based on her resources). Since she makes 40 pies, the domain includes all integers from 0 to 40.

2. **Range**: The number of peaches used is determined by the equation \( y = 6x \), where \( x \) is the number of pies. If she makes 0 pies, she uses 0 peaches; if she makes 40 pies, she uses \( 6 \times 40 = 240 \) peaches. Therefore, the range of this function is from 0 to 240, in increments of 6 peaches (0, 6, 12, ..., up to 240).

Based on this analysis, the two statements that describe the domain or range of the function would be:

- The domain of the function is all non-negative integers up to 40.
- The range of the function is all non-negative multiples of 6 from 0 to 240.

These statements address the limitations on both the input (number of pies) and the output (number of peaches used).