A group of students is taking a CPR course. The total cost for the course is $275. The room in which the course will be held can hold a maximum of 25 people, including the instructor. What is the minimum number of students needed to take the course so that the cost per student will be less than $15?

Question

(1 point)
Responses

11
11

17
17

18
18

19

Answer 1

We can solve this problem by setting up an inequality. Let's let x represent the number of students taking the course.

The cost per student is given by the equation 275/x.

We want to find the minimum value of x such that the cost per student is less than $15. This can be written as:

275/x < 15

To find the minimum value of x, we need to find the maximum value of the denominator. The maximum value of x would occur if every seat in the room is taken, which is 25.

So we have:

275/25 < 15

11 < 15

Therefore, the minimum number of students needed to take the course so that the cost per student is less than $15 is 11. Answer: \boxed{11}.