Suppose a population of 160 crickets double in size every month. The function f (x) = 160*2^x gives the population after to months. How any crickets will there be in two years?

First, we determine how many months are there in two years. We know that each year has 12 months. With these, there are 24 months in 2 years. Solving for the number of crickets in two months,

f (x) = 160 x (2^24/2)

= 655,360

Therefore, after 2 years there are 655,360 crickets.