2
lesson pretestMultiple Choice

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Question 2 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which is an exponential decay function?

Answer
A
f of x is equal to 2 thirds times 4 fifths raised to the negative x power
B
f of x is equal to 3 fourths times 7 fourths to the x th power
C
f of x is equal to 3 halves times 8 sevenths raised to the negative x power
D
f of x is equal to 1 third times negative 9 halves to the x th power

Explanation

An exponential function represents decay when its effective base is between 0 and 1. In choice C, (8/7) raised to the power −x is equivalent to (7/8)^x, and 7/8 is between 0 and 1. Therefore, choice C, f(x) = (3/2)(8/7)^(−x), is an exponential decay function.

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