Question

Solve Linear Inequalities Practice
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Question
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 determine how many hours Shantel must work each month to earn at least $600 in profit, we can set up an inequality.

1. **Calculate the total amount she needs to earn to have a profit of at least $600.**
- Her total expenses are $3,200.
- To find out how much she needs to earn in total, we add her desired profit to her expenses:
\[
\text{Total earnings needed} = \text{Expenses} + \text{Desired Profit} = 3200 + 600 = 3800
\]

2. **Determine how much she earns per hour.**
- She charges $25.00 per hour.

3. **Set up the inequality.**
- Let \( h \) represent the number of hours she works. Thus, her total earnings can be represented as \( 25h \).
- We want her earnings to be at least $3,800:
\[
25h \geq 3800
\]

4. **Solve the inequality for \( h \).**
- Divide both sides by 25:
\[
h \geq \frac{3800}{25}
\]
\[
h \geq 152
\]

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