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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

Respuesta :

HomertheGenius
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.
calculista

Answer:

The answer is the option D

the minimum number of students will be [tex]19[/tex]

Step-by-step explanation:

Let

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

we know that

[tex]15x\geq 275[/tex] ------> inequality that represent the situation

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

Solve for x

Divide by [tex]15[/tex] both sides

[tex]x\geq 275/15\\ x\geq 18.33[/tex]

so

the minimum number of students will be [tex]19[/tex]

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