Final answer:
To find the hourly labor charge, first subtract the total cost of supplies from the total bill and then divide the remainder by the number of labor hours. The hourly rate comes out to be $57.14, which matches option D, rounded to the nearest cent.
Step-by-step explanation:
The student needs to calculate the hourly rate the repair shop charges for labor based on the information provided in the receipt. The total cost for labor is included in the total bill amount, which is $272.00. To find the labor cost, we need to subtract the cost of brake fluid, wheel cylinder, rear brake shoes, front brake pads, and shop supplies from the total.
The sum of the costs for parts and supplies is $6.00 + $28.50 + $20.00 + $15.00 + $2.50 = $72.00.
Next, subtract this amount from the total bill to find the total labor cost: $272.00 - $72.00 = $200.00.
Since the labor was for 3.5 hours, we divide the total labor cost by the hours of labor to find the hourly rate:
$200.00 รท 3.5 hours = $57.14 per hour.
Therefore, the correct option is D. $57.14 as the hourly rate the repair shop charges for labor, which we have rounded to the nearest cent.