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Modeling with Rational Functions

Question 10 • FL-1200330-Algebra 2 CR

When you own a pet, there are one-time costs, such as a leash, and continuing costs, such as food. Suppose the one-time costs for owning a small dog are $180, and the continuing costs are $400 per yearWhich function models the average annual cost of owning a small dog for x years?

Answer
A
f(x) = x/(180 + 400x)
B
f(x) = x/(180x + 400)
C
f(x) = (180 + 400x)/x
D
f(x) =(180x + 400)/x

Explanation

Over x years, the total cost is the one-time $180 cost plus $400 for each year, or $180 + 400x. The average annual cost is the total divided by x, giving (180 + 400x)/x. This matches choice C.

AI-written and checked against the verified answer.

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