Question

The function, f(n) = 70n – 400, models the profit of the instructor of a guitar class per month, where n is

Answer 1

Using the given function, it is found that:

• 6 students need to be enrolled for the instructor to make a profit.

• 20 students must be enrolled for the instructor to make a profit of $1,000 a month.

What is the profit function?

The profit when n students are enrolled in the class is given by:

f(n) = 70n - 400.

A profit is made when f(n) > 0, hence:

70n - 400 > 0

70n > 400

n > 5.71.

6 students need to be enrolled for the instructor to make a profit.

A profit of $1,000 is made when f(n) = 1000, hence:

70n - 400 = 1000

70n = 1400.

n = 20.

20 students must be enrolled for the instructor to make a profit of $1,000 a month.

More can be learned about functions at brainly.com/question/25537936

Answer 2

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function:

f(n) = 70n - 400

To make a profit, f(n) > 0, hence:

70n - 400 > 0

n > 6

For a profit of $1000:

70n - 400 = 1000

n= 20

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

Find out more on equation at: brainly.com/question/2972832