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? (1 point) Responses 11 11 17 17 18 18 19
Let's assume the minimum number of students needed to take the course is x.
We know that the total cost for the course is $275.
Since the instructor is also included in the maximum number of people the room can hold, we have to subtract 1 from the maximum capacity to get the number of students.
So, the number of students in the room will be x - 1.
To find the cost per student, we divide the total cost by the number of students: 275 / (x-1).
We need this cost to be less than $15, so we can set up the inequality:
275 / (x-1) < 15.
To solve this inequality, we start by multiplying both sides by (x-1) to get rid of the denominator: 275 < 15(x-1).
Simplifying the right side: 275 < 15x - 15.
Adding 15 to both sides: 290 < 15x.
Dividing both sides by 15: 19 < x.
So, the minimum number of students needed to take the course is 19. Answer: \boxed{19}.
The Reciprocal Function Family quick check
Graph the function y = -2/x
B
How do the graphs of y = 1/x and y = 3/x – 4 compare?
C
Which shows the graph of y = 1/x+ 2?
A
This graph of a function is a translation of y = .2/x What is an equation for the function?
C
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?
D
100%%
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-duotena