Question

Jill is a writing tutor at her local community center. she has spent $400 on advertisements, and she pays the community center $20 per hour to use its facilities. she charges her clients $60 per hour. how many hours must jill tutor for the amount she brings in to equal the amount she spends?

Option 1: 20
Option 2: 30
Option 3: 10
Option 4: 40

Answer 1

Jill must tutor for 10 hours for her earnings to equal the $400 spent on advertisements and the hourly cost of using the community center's facilities. The break-even point is found by setting up an equation where her total costs equal her total earnings and solving for the number of hours.

Step-by-step explanation:

To determine the number of hours Jill must tutor for her income to equal her expenditure, we can set up an equation to represent her earnings and expenses. Jill's expenses consist of a fixed cost of $400 for advertisements and a variable cost of $20 per hour for using the community center's facilities. Her income is $60 per hour from tutoring. We need to find the number of hours, let's call it x, where her total earnings equal her total expenses.

The equation representing her total costs (expenses) is:

Costs = $400 + $20x

And the equation for her earnings is:

Earnings = $60x

To find the breakeven point, we set these two equations equal to each other and solve for x:

$400 + $20x = $60x

Subtract $20x from both sides of the equation:

$400 = $40x

Then, we divide both sides by $40 to solve for x:

x = 10

Jill must tutor for 10 hours for her total earnings to equal her total expenses.