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

Answer:

The answer is the option D

the minimum number of students will be $19$

Step-by-step 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.