Answer:
Exponential decay function; -0.94%
Step-by-step explanation:
we have
[tex]f(x)=2,060(0,9906)^x[/tex]
This is a exponential function of the form
[tex]y=a(b)^x[/tex]
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b > 1 we have a exponential growth function
If b < 1 we have a exponential decay function
r is the percentage rate of change
b=(1+r)
In this problem we have
[tex]a=2,060[/tex]
[tex]b=0,9906[/tex] ----> is a exponential decay function
[tex]r=b-1=0.9906-1=-0.0094[/tex]
Convert to percentage
[tex]-0.0094*100=-0.94\%[/tex]
therefore
Exponential decay function; -0.94%
