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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 answer

To determine how many hours Shantel needs to work each month to earn at least $600 in profit, we can follow these steps:

  1. Identify the Total Desired Earnings:

    • If Shantel wants to earn a profit of at least $600, she needs to cover her expenses and make that profit.
    • Therefore, her total earnings must be her expenses plus her desired profit. \[ \text{Total Earnings} = \text{Monthly Expenses} + \text{Desired Profit} = 3200 + 600 = 3800 \]

  2. Find the Hourly Rate:

    • Shantel charges $25.00 per hour for her tutoring services.

  3. Set Up the Equation:

    • Let \( H \) be the number of hours Shantel needs to work.
    • The total earnings from tutoring can be expressed as: \[ \text{Total Earnings} = H \times 25 \]
    • We set this equal to the total earnings needed: \[ 25H = 3800 \]

  4. Solve for \( H \): \[ H = \frac{3800}{25} = 152 \]

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