8
QuizMultiple Choice

Modeling with Rational Functions — Quiz

Question 8 • Mathematics III

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

Answer
A
f of x is equal to the fraction with numerator 400 x plus 36 and denominator x
B
f of x is equal to the fraction with numerator 400 plus 36 x and denominator x
C
f of x is equal to the fraction with numerator 400 x plus 36 x and denominator x
D
f of x is equal to the fraction with numerator 400 plus 36 and denominator x

Explanation

Over x years, the treadmill costs $400 to buy and $36 each year to maintain, so the total cost is 400 + 36x dollars. The average annual cost is total cost divided by x years: f(x) = (400 + 36x)/x. This matches choice B.

AI-written and checked against the verified answer.

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