Question

now its time to practice on your own
an electrician charges $62.50 per hour plus a one - time fee of $29.95. the electrician charged a customer $404.95.
how many hours did the electrician charge the customer for?
enter your answer in the box.

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Explanation:

Step1: Subtract the one - time fee

The total charge is the sum of the one - time fee and the charge for the hours worked. First, subtract the one - time fee from the total charge. Let \(x\) be the number of hours. The equation for the total charge \(C\) is \(C = 62.50x+29.95\). We know \(C = 404.95\). So, \(404.95-29.95=62.50x\).

$$404.95 - 29.95=375$$

Step2: Solve for the number of hours

Now we have the equation \(375 = 62.50x\). To find \(x\) (the number of hours), divide both sides of the equation by \(62.50\).

$$x=\frac{375}{62.50}$$

$$x = 6$$

Answer:

\(6\)