Rashon needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $141 for parts. The total was $332.25. Write and solve an equation which can be used to determine x*x*, the cost of the labor per hour.

We can set up an equation to determine the cost of labor per hour $ x $. 

### Step-by-Step Setup:

1. Rashon was charged a total of $332.25, which includes both labor and parts.
2. The cost of parts is $141.
3. The technician worked on the computer for 4.25 hours.
4. The total labor cost is the hourly rate $ x $ multiplied by the number of hours worked (4.25).

So the total amount charged can be expressed as:
\[
\text{Total Cost} = (\text{Labor cost per hour} \times \text{Number of hours}) + \text{Parts cost}
\]
Substituting the known values:
\[
332.25 = 4.25x + 141
\]

### Solving for $ x $:

1. Subtract 141 from both sides:
\[
332.25 - 141 = 4.25x
\]
\[
191.25 = 4.25x
\]

2. Now, divide both sides by 4.25 to solve for $ x $:
\[
x = \frac{191.25}{4.25}
\]
\[
x = 45
\]

Thus, the cost of labor per hour is $ \boxed{45} $.

Would you like further details or have any questions?

Here are 5 related questions:
1. What would the total cost be if the technician worked for 6 hours?
2. How much would Rashon have paid if there were no charges for parts?
3. If the hourly labor rate increased by 10%, how much would the new total be?
4. What would the total be if Rashon was given a 15% discount on parts?
5. How many hours would it take for the labor cost to exceed $250?

**Tip:** When solving word problems, always label the unknown variables and list given information to make the equation easier to set up.

Rashon needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $141 for parts. The total was $332.25. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

This problem helps you learn how to solve a linear equation to find the hourly labor cost. Rashon paid a total of $332.25 for 4.25 hours of work and $141 in parts. The equation 332.25 = 4.25x + 141 is used to find x, the labor cost per hour. Suitable for students in Grades 6-8.

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