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

To determine how many hours Shantel must work each month to earn a monthly profit of at least $600.00, we will first calculate her required monthly earnings and then the number of hours she needs to work.

1. Calculate total required earnings:

   Shantel wants to achieve a profit of at least $600.00, and her monthly expenses are $3,200.00. Thus, her total required earnings can be calculated as:

   \[ \text{Total earnings} = \text{Monthly expenses} + \text{Desired profit} \] \[ \text{Total earnings} = 3200 + 600 = 3800 \]

2. Calculate the number of hours needed to earn this amount:

   Since Shantel charges $25.00 per hour per student, we can find the number of hours she needs to work by dividing her total required earnings by her hourly rate:

   \[ \text{Hours needed} = \frac{\text{Total earnings}}{\text{Hourly rate}} \] \[ \text{Hours needed} = \frac{3800}{25} = 152 \]

Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.00.