Question

An electrician charges a flat service fee to accept a job and an additional hourly rate to complete the job. The amount an electrician charges per job can be represented by the function E(x) = 130 + 28x, where x represents the number of hours she works on the job and 130 represents her flat service fee. What is the interpretation of the slope in the context of the problem?
If the electrician works for 0 hours, her pay will be $28.
If the electrician works for 28 hours, her pay will be $130.
For every hour the electrician works, her pay will increase $28.
For every hour the electrician works, her pay will increase $130.

Answer 1

The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

How to Interpret the Slope of a Function?

The slope of any function is the unit rate or average rate of change of the given function for that situation.

Given the function, E(x) = 130 + 28x, where:

E(x) is the amount an electrician charges per job

130 is the flat rate service which is the starting value or y-intercept

28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.

Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

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