Question

If the number of rabbits triple every year, how many rabbits will there be after 6 years if you start off with 2?

This is what I have so far: (2x3)^6
I got 46,656 for my answer but it doesn't seem like a realistic answer for the question

Answer 1

The starting number (initial value, or y-intercept) is not subject to the power, so
the rule for the function is
y=2(3)^x
year 0: 2(3)^0 = 2
year 1: 2(3)^1 = 6
year 2: 2(3)^2 = 18
...
year 6: 2(3)^6 = 1458