gsm8k-0009

# GSM8K Problem 10

Eliza's rate per hour for the first 40 hours she works each week is $10. She also receives an overtime pay of 1.2 times her regular hourly rate. If Eliza worked for 45 hours this week, how much are her earnings for this week?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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To find Eliza's total earnings for the week, we need to calculate her regular pay and her overtime pay separately and then add them together.

1.  **Calculate Regular Earnings:**
    Eliza earns $10 per hour for the first 40 hours.
    $$40 \text{ hours} \times \$10/\text{hour} = \$400$$

2.  **Calculate Overtime Hours:**
    Eliza worked a total of 45 hours. The hours worked beyond the first 40 are considered overtime.
    $$45 \text{ hours} - 40 \text{ hours} = 5 \text{ overtime hours}$$

3.  **Calculate Overtime Rate:**
    Her overtime rate is 1.2 times her regular hourly rate.
    $$1.2 \times \$10/\text{hour} = \$12/\text{hour}$$

4.  **Calculate Overtime Earnings:**
    Multiply the overtime hours by the overtime rate.
    $$5 \text{ hours} \times \$12/\text{hour} = \$60$$

5.  **Calculate Total Earnings:**
    Add the regular earnings and the overtime earnings.
    $$\$400 + \$60 = \$460$$

Eliza's total earnings for the week are $460.

\boxed{460}