A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. How do you find the total fee y for any number of hours x?

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A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. How do you find the total fee y for any number of hours x?

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Answer 1 · 2016-11-06T02:34:41

$y = 15 x + 60$ $y=15x+60$

Explanation:

We have a function where the total fee, y, that equals an hourly fee of $15 per hour (x hours) and a one-time fee, f, that we haven't been given. So what we know at this point is:

$y = 15 x + f$ $y=15x+f$

Once we know f, we'll have the equation. But we can solve for f by dropping in the charge for 9 hours:

$195 = 15 (9) + f$ $195=15(9)+f$

$f = 195 - 135 = 60$ $f=195-135=60$

So we can find the general formula for y:

$y = 15 x + 60$ $y=15x+60$

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A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. How do you find the total fee y for any number of hours x?

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