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?
(1 point)
Responses
11
11
17
17
18
18
19
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}.