A group of students is taking a cpr course

Asked by maham237 @ 28/04/2021 in Mathematics viewed by 502 People

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

Answered by maham237 @ 28/04/2021

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

$x\geq 275/15\\ x\geq 18.33$

the minimum number of students will be $19$

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