To determine how many hours Shantel must work each month to earn at least $600 in profit, we can set up an inequality.
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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: \[ \text{Total earnings needed} = \text{Expenses} + \text{Desired Profit} = 3200 + 600 = 3800 \]
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Determine how much she earns per hour.
- She charges $25.00 per hour.
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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: \[ 25h \geq 3800 \]
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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.