To calculate Tony's total earnings for 42.5 hours, we need to break it down into regular and overtime hours.
- Regular Hours: Tony works 40 hours at his regular rate.
- Overtime Hours: Tony works 2.5 hours of overtime.
Step 1: Calculate Regular Pay
Regular pay for 40 hours: \[ 40 \text{ hours} \times 7.25 \text{ dollars/hour} = 290 \text{ dollars} \]
Step 2: Calculate Overtime Pay
First, we need to determine his overtime rate. For overtime, Tony makes \(1 \frac{1}{12}\) times his regular rate.
Convert \(1 \frac{1}{12}\) to an improper fraction: \[ 1 \frac{1}{12} = \frac{13}{12} \]
Now, calculate the overtime rate: \[ \text{Overtime Rate} = 7.25 \times \frac{13}{12} = 7.25 \times 1.0833 \approx 7.85 \text{ dollars/hour} \]
Step 3: Calculate Overtime Pay
Now, calculate pay for the overtime hours (2.5 hours): \[ 2.5 \text{ hours} \times 7.85 \text{ dollars/hour} = 19.625 \text{ dollars} \]
Step 4: Total Pay
Finally, add the regular pay and overtime pay: \[ \text{Total Pay} = 290 \text{ dollars} + 19.625 \text{ dollars} \approx 309.625 \text{ dollars} \]
So, Tony makes approximately $309.63 when he works 42.5 hours.