Question

Caroline needed to get her computer fixed. She took it to get fixed at the repair store. The technician at the store worked on the computer for 2.75 hours and charged her $114 for parts. The total was $320.25. Write and solve an equation which can be used to determine x the Cost of labor per hour?

Answer 1

The total cost of repair of the computer, includes the cost of replacement parts and labor

The general form of the equation that can be used to determine x is presented as follows; C = p + t·x

Where;

C = Total cost = $320.25

p = The cost of parts = $114

t = The time = 2.75 hours

• The equation that can be used to determine x is; 320.25 = 114 + 2.75·x

• Cost of labor per hour is $75

Reason:

The known parameter for the cost of the repair are;

The time it took the technician at the store to work on the computer, t = 2.75 hours

The amount the technician charged for the parts, p = $114

The total cost of the repair, C = $320.25

Required:

Write and solve an equation which can be used to determine x, the Cost of labor per hour

By observation, we have;

The total cost, C = p + t × x

C = 320.25

p = 114

t = 2.75

The equation that can be used to determine x, is therefore;

• 320.25 = 114 + 2.75·x

Solving, we get;

$x = \dfrac{320.25 - 114}{2.75} = 75$

Cost of labor per hour, x = $75

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