Question

The function, f(x) = 70n-400, models the profit if the instructor of a guitar class per month, where n is the number of students enrolled in the class. How many students must be enrolled in the class for the instructor to make a profit? How many students must be enrolled in the class if the instructor needs to make $1,000.00 profit per month?

Answer 1

F(x) = 1,000
70n - 400 = 1,000
70n = 1,000 + 400
70n = 1,400
n = 1,400/70
n = 20

The instructor needs 20 students