Question

Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?

A. 240
B. 480
C. 48
D. 24

Answer 1

The students will have a different number of hats available to sell this year compared to last year. However, the exact number of fewer hats cannot be determined based on the given information.

Step-by-step explanation:

To find out how many fewer hats the students will have available to sell, we need to determine the difference between the number of hats the students had available last year and the number of hats they will have available this year.

Last year, there were some hats left over without a specific quantity mentioned. Let's say there were 'n' hats left over.

This year, the students will order 20 boxes of hats. The function h(x) = 24x + 37 represents the number of hats in each box, where 'x' is the number of boxes.

So, this year the students will have a total of 20 boxes of hats, which is equivalent to h(20) = 24(20) + 37 = 497 hats.

The difference between the number of hats available this year and last year is 497 - n. Since the question doesn't provide any specific value for 'n,' we cannot determine the exact number of fewer hats the students will have available to sell. Therefore, the answer is D. Cannot be determined.