Question

Explain why there are only three variables in the expression f(x) = a(b)^x + c as it relates to transformations of an exponential function

Answer 1

Option A.Exponential decay, 55% decrease

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