Final answer:
None of the options provided are correct. For an hourly wage of $10.20, the overtime rate is $20.40. Regular pay was $408, and the overtime pay should be $71.40, leading to a total pay of $479.40.
Step-by-step explanation:
To calculate the total pay for working 43.5 hours last week with an hourly rate of $10.20 for the first 40 hours and double time for anything over that, we can follow these steps:
- Determine the overtime rate. Since the normal pay is $10.20 per hour, double time would be $10.20 × 2, which equals $20.40.
- Calculate the regular pay for the first 40 hours. This is done by multiplying the hourly rate by the number of regular hours worked, $10.20 × 40, resulting in $408 in regular pay.
- Compute the overtime pay for the hours worked above 40 hours. The student worked 3.5 overtime hours, so we multiply the overtime hours (3.5) by the overtime rate ($20.40), which equals $71.40 in overtime pay.
- Finally, combine the regular pay and overtime pay to find the total pay. Adding $408 in regular pay and $71.40 in overtime pay results in a total pay of $479.40.
Reviewing the provided options, it appears there may have been a miscalculation in the overtime pay in the available answers. The correct calculation for the overtime pay, based on the information provided, should be $71.40 instead of $61.20 or $61.50. Therefore, none of the options (a, b, c, d) provided are correct based on the calculations.