Question
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Regina earns \( \$ 7.25 \) per hour for babysitting her little sister. How many hours must Regina work to earn \( \$ 464 \) ?

Ask by Best Wells. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Regina must work 64 hours to earn \$464.

Solution

To determine how many hours Regina needs to work to earn **\$464** at a rate of **\$7.25** per hour, you can use the following steps: 1. **Set Up the Equation:** Let \( h \) represent the number of hours Regina needs to work. \[ 7.25 \times h = 464 \] 2. **Solve for \( h \):** \[ h = \frac{464}{7.25} \] 3. **Calculate the Division:** \[ h = 64 \] \[ \frac{464}{7.25} = 64 \] 4. **Conclusion:** Regina must work **64 hours** to earn **\$464**. **Verification:** To ensure the calculation is correct, multiply the hourly rate by the number of hours: \[ 7.25 \times 64 = 464 \] The multiplication confirms that **64 hours** of work at **\$7.25** per hour equals **\$464**. **Answer:** Regina must work **64 hours** to earn **\$464**.

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Beyond the Answer

To find out how many hours Regina needs to work to earn \( \$ 464 \), we can set up the equation: \[ \text{Hours} = \frac{\text{Total Earnings}}{\text{Hourly Rate}} = \frac{464}{7.25} \] Calculating this gives: \[ \text{Hours} \approx 63.79 \] Since Regina can't work a fraction of an hour in most babysitting scenarios, she would need to work at least 64 hours to meet or exceed her goal. So, Regina must work 64 hours to earn at least \( \$ 464 \).

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