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.
the profit is the difference between the student fees and the studio rental cost
P = (N * F) - C
F = (P + C) / N
To solve this problem, let's break it down step by step:
1) To express the profit made, P, as a function of the number of students attending, N, we need to consider both the income from student fees and the cost of renting the studio. Since the profit is the difference between the income and the cost, we can write the equation as:
P = (N × F) - C
Here, N represents the number of students, F is the fee paid by each student, and C is the cost of renting the studio.
2) To calculate P when you know the values of C, N, and F, you can use the formula from step 1:
P = (N × F) - C
Simply substitute the given values of C, N, and F into the equation and calculate the result.
3) To calculate F when you know the values of C, N, and P, we need to rearrange the equation from step 1 to isolate F.
P = (N × F) - C
Rearranging the equation, we get:
(N × F) = P + C
Divide both sides by N:
F = (P + C) / N
So the formula for calculating F is:
F = (P + C) / N
Use this formula to find the value of F when you know the values of C, N, and P.