Question

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?

Answer 1

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.