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.

Question

Which of these statements describe the domain or range of this function? Select two that apply.
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

To clarify the situation, we know that Kinah is making peach pies, where she makes a number of pies (let's denote this by \( p \)), and for each pie, she uses 6 peaches.

1. The domain refers to the input values of the function—essentially, the number of pies \( p \) that Kinah can make. Since Kinah can make anywhere from 0 pies to 40 pies, the domain is the set of all integers from 0 to 40.

2. The range refers to the output values of the function—specifically, the total number of peaches used based on the input number of pies. If she makes \( p \) pies, then she uses \( 6p \) peaches.

   • If \( p = 0 \): \( 6 \times 0 = 0 \) peaches.
   • If \( p = 1 \): \( 6 \times 1 = 6 \) peaches.
   • If \( p = 2 \): \( 6 \times 2 = 12 \) peaches.
   • ...
   • If \( p = 40 \): \( 6 \times 40 = 240 \) peaches.

   The output values will be all the multiples of 6 from 0 to 240, which form the range.

Based on this analysis:

• Option A is incorrect because the range is not just all integers from 0 to 40; it is the total peaches used, which are multiples of 6.
• Option B is correct as it describes the domain: the set of all integers from 0 to 40.
• Option C is correct as it describes the range: the set of all multiples of 6 from 0 to 240.
• Option D is incorrect because the domain is not restricted to multiples of 6; it includes all integers from 0 to 40.

Thus, the two correct statements are: B and C.