Decide whether the function is an exponential growth or exponential decay function and find the constant percentage
rate of growth or decay.
-$$f ( x ) = 7 \cdot 1.09 x$$
A) Exponential decay function; $109 \%$
B) Exponential growth function; $0.09 \%$
C) Exponential growth function; $9 \%$
D) Exponential growth function; $109 \%$

Question

Quizplus · Accepted Answer

The function is in the form $f(x) = ab^x$, where $a = 7$ and $b = 1.09$. Since $b > 1$, it represents exponential growth. The constant percentage rate of growth is $b - 1 = 1.09 - 1 = 0.09$, which is $9\%$.

Decide Whether the Function Is an Exponential Growth or Exponential f(x)=7⋅1.09xf ( x ) = 7 \cdot 1.09 xf(x)=7⋅1.09x

Decide Whether the Function Is an Exponential Growth or Exponential $f ( x ) = 7 \cdot 1.09 x$