Answer:
[tex]f(x)= 2(\frac{2}{3})^x[/tex]
Step-by-step explanation:
Exponential equation is in the form of [tex]y=a(b)^x[/tex]
'a' represents the initial amount
'b' represents the growth or decay factor
when the value of b is between 0 and 1 then it is decay function
In the function [tex]f(x)= 2(\frac{2}{3})^x[/tex]
the value of b is [tex]\frac{2}{3}[/tex] that is less than 1
So the function [tex]f(x)= 2(\frac{2}{3})^x[/tex] represents a exponential decay.
