1. **State the problem:** Tristan took his computer to a repair store. The technician worked for 4.75 hours and charged $50 for parts. The total bill was $643.75. We need to find the cost of labor per hour.
2. **Set up the equation:** Let $x$ be the cost of labor per hour.
The total cost is the sum of labor cost and parts cost:
$$\text{Total} = \text{Labor cost} + \text{Parts cost}$$
$$643.75 = 4.75x + 50$$
3. **Isolate the variable $x$:**
Subtract 50 from both sides:
$$643.75 - 50 = 4.75x$$
$$593.75 = 4.75x$$
4. **Divide both sides by 4.75 to solve for $x$:**
$$x = \frac{593.75}{4.75}$$
Show cancellation:
$$x = \frac{\cancel{593.75}}{\cancel{4.75}}$$
5. **Calculate the division:**
$$x = 125$$
6. **Answer:** The cost of labor per hour is **125** per hour.
Labor Cost 8460Ce
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.