Question

Find an exponential function to model the data (image provided). A.) f(x) = 116.4 – 42.8 ln x B.) f(x) = 2.04(3.56)x C.) f(x) = 3.56(2.04)x D.) f(x) = –42.8 + 116.4 ln x

Answer 1

f(x) = 3.56(2.04)^x

Explanation:

I took the test

Answer 2

C.) f(x) = 3.56(2.04^x)

Explanation:

The ratios of adjacent table values is about 2, so that is the approximate base of the exponential factor.

A graphing calculator figures the best fit is ...

f(x) = 3.66(2.02^x) . . . . closest to choice C

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Choices A and D are logarithmic functions, not exponential functions. Choice B has too large a base.