Question

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? A. 11 B. 17 C. 18 D. 19

Answer 1

The answer is the option D

the minimum number of students will be
`19`

Explanation:

Let

x-------> the minimum number of students

we know that

`15x\geq 275` ------> inequality that represent the situation

The domain of the inequality is the interval------->
`[0,24]`

Solve for x

Divide by
`15` both sides

`x\geq 275/15\\ x\geq 18.33`

so

the minimum number of students will be
`19`

Answer 2

25 people = 24 students + 1 instructor;
$275 / x < $15
x > $275 : $15
x > 18.3333
x = 19
Answer:
The minimum number of students is: D ) 19.