I would really try and answer but I don't know how to start or even understand the problem. I would appreciate it if you help

A music teacher runs a guitar class for 20 weeks.
The class meets each week in a rented music studio.

Suppose that:
-It cost the teacher "C" dollars to rent the studio for the 20 weeks.
-The class contains "N" students.
-Each student pays the teacher a single fee of "F" dollars for the course.
-The teacher makes a profit of "P" dollars at the end of the course.

1) Suppose that C=400 and F=70. Write an equation to show how the profit made, P, depends on N, the number of students attending.

2) Write a formula for calculating P when you know C,N, and F.

3) Write a formula for calculating F when you know C, N, and P.

1 answer

the profit is the difference between the student fees and the studio rental cost

P = (N * F) - C

F = (P + C) / N