Decide whether the function is an exponential growth or exponential decay function and find the constant percentage
rate of growth or decay.
-$$f ( x ) = 20,092 \cdot 0.867 ^ { x }$$
A) Exponential decay function; $0.133 \%$
B) Exponential decay function; $- 13.3 \%$
C) Exponential growth function; $0.133 \%$
D) Exponential grow th function; $- 13.3 \%$

Question

Quizplus · Accepted Answer

The function is an exponential decay because the base of the exponent, 0.867, is between 0 and 1. The constant percentage rate of decay is found by subtracting the base from 1 and converting to a percentage: $1 - 0.867 = 0.133$ or $13.3\%$.

Decide Whether the Function Is an Exponential Growth or Exponential f(x)=20,092⋅0.867xf ( x ) = 20,092 \cdot 0.867 ^ { x }f(x)=20,092⋅0.867x

Decide Whether the Function Is an Exponential Growth or Exponential $f ( x ) = 20,092 \cdot 0.867 ^ { x }$