Question

The function, f(x)=70n-400, models the profit of 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

profit=f(x)

so solve for f(x)=1000

1000=70n-400

add 400 to both sides

1400=70n

divide both sides by 70

20=n

20 students need to be enrolled to make a profit of 1000.00