Answer:
f(x) = [tex]3^x[/tex]
Step-by-step explanation:
This doesn't really look like a linear model, so it might be exponential.
Let's write the equation: y = a[tex]b^x[/tex]. Plug in a few values for y and x to find a and b:
9 = a[tex]b^2[/tex] ⇒ a = 9/b²
27 = a[tex]b^3[/tex] ⇒ a = 27/b³
Set these equal:
9/b² = 27/b³
9b = 27
b = 3
Plug this in to find a:
a = 9/b² = 9/9 = 1
The equation is:
f(x) = [tex]3^x[/tex]
