Respuesta :

Answer:

(a)Exponential Decay

(b)2/27

Explanation:

Given the function:

[tex]y=2\mleft(\frac{1}{3}\mright)^x[/tex]

(a)The base of x (that is 1/3) is less than 1, therefore, the function represents exponential decay.

(b)Next, when x=3

[tex]\begin{gathered} y=2\mleft(\frac{1}{3}\mright)^3 \\ =2\times\frac{1}{3^3} \\ =2\times\frac{1}{27} \\ =\frac{2}{27} \end{gathered}[/tex]