Final answer:
To calculate the hourly labor cost (x), the equation 4.25x + 141 = 332.25 can be used, subtracting the parts cost from the total and dividing the remainder by the hours worked, resulting in an hourly rate of $45.
Step-by-step explanation:
To determine x, the cost of labor per hour, we can use the information given to set up an equation. Rashawn's total bill was $332.25, which includes $141 for parts. The technician worked for 4.25 hours. The remainder of the total cost after subtracting the cost of parts gives us the total labor cost. We assume that x is the hourly labor rate. Therefore, the equation to calculate the labor cost is 4.25x + 141 = 332.25. To find the hourly rate (x), we subtract 141 from both sides of the equation and then divide by 4.25. This gives us:
- 4.25x = 332.25 - 141
- 4.25x = 191.25
- x = 191.25 / 4.25
- x = $45
hence, the hourly labor cost is $45.
To determine the cost of labor per hour, we can set up an equation using the given information. Let x be the cost of labor per hour. We know that the technician worked on the computer for 4.25 hours and charged $141 for parts. The total cost is $332.25. So we can write the equation as:
$141 + 4.25x = $332.25
Now we can solve for x by subtracting $141 from both sides and then dividing both sides by 4.25:
x = ($332.25 - $141) / 4.25
Simplifying the equation gives x = $191.25 / 4.25, which is approximately $45.