Respuesta :
Answer:
Decay function, 70% per year.
Step-by-step explanation:
A general exponential function is defined as
[tex]y=a(1+r)^x[/tex] ...(1)
where, a is initial value, |r| is rate of change and x is time in years.
If r>0, then it is a growth function and if r<0, then it is a decay function.
The given function is
[tex]y=2600(0.3)^x[/tex]
It can be rewritten as
[tex]y=2600(1-0.7)^x[/tex]
[tex]y=2600(1+(-0.7))^x[/tex] ...(2)
On comparing (1) and (2), we get
[tex]r=-0.7[/tex]
Since r<0, therefore the given function is a decay function.
[tex]|r|=|-0.7|=0.7=70\%[/tex]
Therefore, the given function decreasing by 70% per year.
