Given the exponential function f(x) = 54(0.45)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
a. exponential decay, 55% decrease
b. exponential growth, 45% increase
c. exponential decay, 45% decrease
d. exponential growth, 55% increase

Option A.Exponential decay, 55% decrease

Step-by-step explanation:

we have

This is a exponential function of the form

where

a is the initial value

b is the base

b=(1+r)

r is the rate of change

In this problem

a=54

b=0.45

so

0.45=1+r

r=0.45-1

r=-0.55

Convert to percentage

r=-55% ------> is negative because is a exponential decay