To solve this problem, we need to understand the relationship between the number of pies Kinah makes and the number of peaches she uses.
- Kinah makes 40 pies at a maximum, and for each pie, she uses 6 peaches. Therefore, the number of peaches (which is the output or range) depends on the number of pies made (which is the input or domain).
Let’s evaluate the given options:
A. The range is the set of all integers from 0 to 40.
- This statement is false. The range refers to the number of peaches used, which is calculated as \(6 \times \text{number of pies}\). Therefore, the range would be multiples of 6 (0, 6, 12, ... up to 240), not simply integers from 0 to 40.
B. The domain is the set of all integers from 0 to 40.
- This statement is true. The domain (the number of pies she can make) ranges from 0 (no pies) to 40 (maximum pies).
C. The range is the set of all multiples of 6 from 0 to 240.
- This statement is true. Since Kinah uses 6 peaches for each pie, if she makes 0 to 40 pies, the total peaches used will be \(6 \times \text{number of pies}\), leading to the set {0, 6, 12, ..., 240}.
D. The domain is the set of all multiples of 6 from 0 to 240.
- This statement is false. The domain includes all integers from 0 to 40, not just multiples of 6.
Based on the evaluation, the two correct statements that describe the domain or range of this function 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.
1 answer