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 was $400.25. write and solve an equation which can be used to determine x, the cost of the labor per hour. answer attempt 1 out of 3 equation: answer: x =

Explanation:

Step1: Define the total cost components

The total cost is the sum of the cost of parts and the labor cost. The labor cost is the number of hours worked times the hourly rate \( x \), so labor cost is \( 3.75x \), and parts cost is $119, total cost is $400.25. So the equation is \( 3.75x + 119 = 400.25 \).

Step2: Solve for \( x \)

Subtract 119 from both sides: \( 3.75x = 400.25 - 119 \)
Calculate the right side: \( 400.25 - 119 = 281.25 \)
Then divide both sides by 3.75: \( x = \frac{281.25}{3.75} \)
Calculate the division: \( x = 75 \)

Answer:

Equation: \( 3.75x + 119 = 400.25 \)