Decide whether the function is an exponential growth or exponential decay function and find the constant percentage
rate of growth or decay.
-$$f ( x ) = 2061 \cdot 0.9928 ^ { x }$$
A) Exponential growth function; $0.0072 \%$
B) Exponential growth function; $- 0.72 \%$
C) Exponential decay function; $- 0.72 \%$
D) Exponential decay function; $0.0072 \%$

Question

Quizplus · Accepted Answer

The function is an exponential decay function because the base of the exponent, 0.9928, is less than 1. The constant percentage rate of decay is found by subtracting the base from 1 and converting to a percentage: $1 - 0.9928 = 0.0072$, which is $0.72\%$.

Decide Whether the Function Is an Exponential Growth or Exponential f(x)=2061⋅0.9928xf ( x ) = 2061 \cdot 0.9928 ^ { x }f(x)=2061⋅0.9928x

Decide Whether the Function Is an Exponential Growth or Exponential $f ( x ) = 2061 \cdot 0.9928 ^ { x }$