Question

C = 75h + 125
The equation above gives the amount C, in dollars, an electrician charges for a job that takes h hours. Ms. Sanchez and Mr. Roland each hired this electrician. The electrician worked 2 hours longer on Ms. Sanchez’s job than on Mr. Roland’s job. How much more did the electrician charge Ms. Sanchez than Mr. Roland?​

Answers

  1. Ms. Sanchez paid 150 dollars more than Mr. Roland.

    How much more did the electrician charge Ms. Sanchez than Mr. Roland?​

    Let’s say that the electrician worked for x hours in Mr. Roland’s home, then worked for (x + 2) hours in Ms. Sanchez home.
    Then we need to find the difference between the linear equations:
    C(x + 2) – C(x) = (75*(x + 2) + 125) – (75*x + 125)
    If we simplify that, we get:
    75*x + 75*2 + 125 – 75*x – 125
    = 75*2 = 150
    This means that Ms. Sanchez paid 150 dollars more than Mr. Roland.
    If you want to learn more about linear equations:
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