Shantel offers online tutorial services. She charges $25.00 an hour per student. Her budget tracker reflects a total of $3,200.00 monthly expenses. How many hours must Shantel work each month to earn a monthly profit of at least $600.00?(1 point)

Question

at least
hours

Answer 1

Let the number of hours Shantel must work each month be x.

Her total earnings from working x hours will be 25x.

Her monthly profit will be her total earnings minus her total expenses, so it will be:
25x - 3200

We want her monthly profit to be at least $600, so we can set up the following inequality:
25x - 3200 >= 600

Adding 3200 to both sides of the inequality, we get:
25x >= 3800

Dividing both sides of the inequality by 25, we get:
x >= 152

Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.