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 cost was $400.25. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

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 cost was $400.25. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answer 1

Let x be the cost of the labor per hour.

The technician worked on the computer for 3.75 hours, so the labor cost for the computer repair is 3.75x.
Adding the cost of parts, the total cost of the repair is 3.75x + $119.
We are told that the total cost of the repair is $400.25, so we can write the equation:
3.75x + $119 = $400.25.
To solve for x, we subtract $119 from both sides of the equation:
3.75x = $400.25 - $119
3.75x = $281.25
Finally, to solve for x, we divide both sides of the equation by 3.75:
x = $281.25 / 3.75
x = $75
Therefore, the cost of the labor per hour is $75.

Answer 2

Let's assume that x represents the cost of the labor per hour.

The technician worked on the computer for 3.75 hours, so the cost of labor for that time would be 3.75x.

The technician also charged Lauren $119 for parts, so the total cost of the repair (including labor and parts) is 119 + 3.75x.

We are given that the total cost was $400.25, so we can set up the equation:

119 + 3.75x = 400.25

To solve for x, we can subtract 119 from both sides:

3.75x = 400.25 - 119

3.75x = 281.25

Finally, divide both sides by 3.75 to isolate x:

x = 281.25 / 3.75

x ≈ 75

So, the cost of the labor per hour is approximately $75.

Answer 3

To determine the cost of the labor per hour (x), we can set up an equation.

Let's first assign variables to the given information:
Cost of labor per hour: x (in dollars)
Number of hours worked: 3.75 hours
Cost of parts: $119
Total cost: $400.25

The equation we can use is:

Total Cost = Cost of labor + Cost of parts

We know that the labor cost is the product of the labor rate (cost per hour) and the number of hours worked:

Cost of labor = x * Number of hours worked

Now we can substitute the given values into the equation:

$400.25 = (x * 3.75) + $119

Now, we can solve for x:

$400.25 - $119 = 3.75x

$281.25 = 3.75x

To isolate x, we divide both sides of the equation by 3.75:

$281.25 / 3.75 = x

Thus, the cost of the labor per hour (x) is $75.