Respuesta :

B is the correct answer. If you divide 36/9 =4  so for 144/36=4 so it is increasing by an equal factor over the intervals of x. 

Answer:

Option B. is the correct option.

Step-by-step explanation:

the given function is a geometric function which can be represented as

[tex]t_{n}=a(r)^{n-1}[/tex]

Here a = 9

and common factor r = second term/first term = 36/9 = 4

therefore function can be represented by

[tex]f(x)=9.(4)^{n-1}[/tex]

So option B. It's an exponential function because the y-values increase by an equal factor over the intervals of x-values.