4
AssignmentMultiple Choice

Modeling with Two-Variable Linear Inequalities

Question 4 • AL-Algebra I with Probability Critical Standards

Which is an exponential growth function?

Answer
A
f(x) = 6(0.25)x
B
f(x) = 0.25(5.25)x
C
f(x) = –4.25x
D
f(x) = (–1.25)x

Explanation

An exponential growth function has the form a·b^x, where the base b is greater than 1 and the starting coefficient a is positive. In choice B, the base is 5.25, which is greater than 1, and the coefficient is 0.25, so it represents exponential growth. Choice A has a base of 0.25, between 0 and 1, so it represents exponential decay.

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