Modeling with Rational Functions

User Generated

znepbr98

Mathematics

Description

Craig bought a treadmill for $400. He estimates that the annual costs to maintain the machine will be $36. Which rational function yields the average annual cost in dollars of owning the treadmill for x years?

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Explanation & Answer

Hello!

The average annual cost is the quantity of dollars spent  divided by the number of years.

The number of years denoted as x.
The quantity of dollars is 400 from the initial purchase plus 36 for every year,
400 + 36*x.

The average is (400+36*x)/x = 400/x + 36. This function is really rational.

Please ask if something is unclear.


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