A $7,000 motorcycle depreciates at 10% each year. Which value would represent the base of the exponential function that models this situation?

Question

Mathematics

Timothy Mcneil

17 August, 18:53

A $7,000 motorcycle depreciates at 10% each year. Which value would represent the base of the exponential function that models this situation?

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Brenna Maddox · Answer 1

In the form of the exponential function:f (x) = a · b^x, the base of the function is b. In this case: a = 7,000 (starting value) and b = 1 - 0.1 = 0.9f (x) = 7,000 · (0.9) ^xwhere x represents the number of the years : x = 0, 1, 2, ... Answer: The base is 0.9.