Final answer:
To find the total cost of repairing the boat, multiply the mechanic's hourly rate by the number of hours worked and add the cost of the part. The labor cost is $75.00 per hour multiplied by 3.25 hours, equaling $243.75. The total cost, including the part, is $559.75.
Step-by-step explanation:
The question involves calculating the total cost to repair a boat. The marina mechanic charges $75.00 per hour and the part needed costs $316. The mechanic takes 3 1/4 hours to complete the work.
To find the total cost, we need to calculate the total labor cost and add it to the cost of the part.
First, convert 3 1/4 hours to a decimal to make the calculation easier, which is 3.25 hours. Then multiply the number of hours by the hourly rate of the mechanic:
Labor Cost = Hourly Rate x Time
Labor Cost = $75.00 x 3.25
Labor Cost = $243.75
Next, add the cost of the part to the labor cost to get the total cost:
Total Cost = Labor Cost + Part Cost
Total Cost = $243.75 + $316
Total Cost = $559.75
The total cost to repair the boat is $559.75.