Question

sophie needed to get her computer fixed. she took it to the repair store. the technician at the store worked on the computer for 4 hours and charged her $127 for parts. the total was $227. write and solve an equation which can be used to determine x, the cost of the labor per hour. answer attempt 1 out of 2 equation: answer: x =

Explanation:

Step1: Define the equation components

The total cost is the sum of the cost for parts and the labor cost. The labor cost is the number of hours times the cost per hour, so labor cost is \(4x\). The parts cost is $127, and total cost is $227. So the equation is \(4x + 127 = 227\).

Step2: Solve for \(x\)

Subtract 127 from both sides: \(4x + 127 - 127 = 227 - 127\) which simplifies to \(4x = 100\). Then divide both sides by 4: \(\frac{4x}{4} = \frac{100}{4}\) so \(x = 25\).

Answer:

Equation: \(4x + 127 = 227\)