A landscaper put 9 lilypads into a new pond. The number of lilypads triples each month over a period of time.

Write a function f(x) to model the number of lilypads in the pond after x months.

A landscaper put 9 lilypads into a new pond. We know that the number of lilypads triples each month over a period of time. That is:

And so one. Therefore, this follows a geometric sequence at which the constant ratio is 3. This is also modeled as an exponential function, so we can write it as follows: