Question

Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total was $400.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answer 1

To determine the cost of labor per hour, set up the equation 3.75x + 119 = 400.25 and solve for x.

Step-by-step explanation:

To determine the cost of labor per hour, we can set up an equation based on the given information. Let xx represent the cost of labor per hour.

According to the problem, the technician worked on the computer for 3.75 hours and charged $119 for parts, which means the total cost for labor plus parts is $400.25.

We can set up the equation as follows: 3.75x + 119 = 400.25.

To solve for xx, we need to isolate it on one side of the equation. First, subtract 119 from both sides: 3.75x = 400.25 - 119.

Next, simplify the right side of the equation: 3.75x = 281.25.

Finally, divide both sides of the equation by 3.75: x = 281.25 / 3.75.

Therefore, the cost of the labor per hour is $75.