An exponential function passes through the points (0, 90) and (2, 129.6). Which model represents the function?

Question

18. An exponential function passes through the points (0, 90) and (2, 129.6). Which model represents the function?
a. f(x) = 90(1.20)^x
b. f(x) = 90(0.80)^x
c. f(x) = 90(1.44)^x
d. f(x) = 129.6(1.20)^x

SnapAndSolve AI · Accepted Answer

a. f(x) = 90(1.20)^xTo find the correct model, we use the point (0, 90) to determine the initial value, which is 90. Then, using the point (2, 129.6), we solve for the growth factor:129.6 = 90 * r^2r^2 = 129.6 / 90r^2 = 1.44r = sqrt(1.44) = 1.2Thus, the function is f(x) = 90(1.20)^x.

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An exponential function passes through the points (0, 90) and (2, 129.6). Which model represents the function?

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