Answer:
y = 4 * 3^(x-3)
Explanation:
We have 3 data points.
Looking at the y values
We notice that the sequence is geometric. We go up by 3 each time
12*3 = 36
36*3 = 108
A geometric sequence is of the form
y = a1 ( 3) ^(x)
Pick a point to help determine a1
12 = a1 ( 3) ^4
12 = a1 * 81
Divide each side by 81
12/81 = a1
4/27 = a1
y = 4/27 * (3)^x
Let's check
y = 4/27 ( 3)^6
= 108
We now have an equation
1/27 = 3^-3
y = 4 * 3^-3 * 3^x
Rewriting
y = 4 * 3^(x-3)
I like this equation better because it is simpler