Question

An electrician charges $20, plus $25 for every additional hour of work. What is the maximum number of hours that the electrician can be hired for $200?
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8
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5
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6
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7

Answer 1

To determine the maximum number of hours the electrician can be hired for $200, we start with the base charge of $20 and then add $25 for each additional hour.

1. Subtract the base charge from the total budget:
\[
200 - 20 = 180
\]

2. Now, we need to divide the remaining amount by the hourly rate of $25:
\[
\frac{180}{25} = 7.2
\]

Since we can only have whole hours, we take the whole number part, which is 7 additional hours.

3. Therefore, the total number of hours the electrician can be hired, including the base hour, is:
\[
1 \text{ (base hour)} + 7 \text{ additional hours} = 8 \text{ hours}
\]

Thus, the maximum number of hours that the electrician can be hired for $200 is **8 hours**.