Jocelyn needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged her $77 for parts. The total was $290.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Let x be the cost of the labor per hour.
The total cost of the labor is 4.75x.
Adding the cost of the parts, the total cost is 4.75x + 77.
We are given that the total cost is $290.75, so we can write the equation:
4.75x + 77 = 290.75
To solve for x, we subtract 77 from both sides:
4.75x = 213.75
Finally, we divide both sides by 4.75:
x = 213.75 / 4.75
x ≈ 45
Therefore, the cost of the labor per hour is approximately $45.