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)at least hours

Answer 1

To find out how many hours Shantel must work in order to earn a monthly profit of at least $600.00, we can set up the equation based on her earnings, expenses, and desired profit.

1. Determine the profit requirement: Shantel wants to make at least $600.00 in profit each month, so her total income minus her expenses should be at least $600.00.

2. Write the equation for profit: $$\text{Total Income}-\text{Expenses}\ge \text{Desired Profit}$$

   This translates to: $$\text{Total Income}-3200\ge 600$$

3. Rearranging the equation: $$\text{Total Income}\ge 3200+600$$ $$\text{Total Income}\ge 3800$$

4. Express Total Income in terms of hours worked: Shantel charges $25.00 an hour. Therefore, if she works $h$ hours, her total income will be: $$\text{Total Income}=25h$$

5. Set up the inequality: $$25h\ge 3800$$

6. Solve for $h$: Dividing both sides by 25: $$h\ge \frac{3800}{25}$$ $$h\ge 152$$

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