Amelia needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged her $100 for parts. The total was $237.50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Let's define the variables and set up an equation based on the given information:

- Let $ x $ be the cost of labor per hour.
- The technician worked for 2.5 hours.
- The total labor cost would then be $ 2.5x $.
- The cost of parts was $100.
- The total cost was $237.50.

The equation that represents the total cost is:

\[
2.5x + 100 = 237.50
\]

To solve for $ x $, follow these steps:

1. Subtract 100 from both sides of the equation:

\[
2.5x = 237.50 - 100
\]

\[
2.5x = 137.50
\]

2. Divide both sides by 2.5 to isolate $ x $:

\[
x = \frac{137.50}{2.5}
\]

\[
x = 55
\]

So, the cost of labor per hour is **$55**.

Would you like more details on how this was calculated, or do you have any questions?

Here are 5 related questions for further practice:

1. If the technician worked for 3 hours, and the parts cost remained $100, what would the total cost be?
2. What if the parts cost $150 instead of $100, how would that affect the hourly labor cost if the total still needs to be $237.50?
3. How would the equation change if the technician gave a discount of $20 on the total labor cost?
4. If the total cost had been $250, with the same hours worked and parts cost, what would the hourly labor cost be?
5. How much would Amelia pay if the labor cost per hour was $60 and the technician worked for 2.5 hours, with parts costing $100?

**Tip**: When setting up an equation, always identify what the variable represents and ensure that all parts of the problem are accounted for in the equation.

Learn how to calculate the cost of labor per hour using linear equations with an example problem. Understand the relationship between hours worked, labor cost, and total cost. Suitable for students in Grades 7-9.

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