Suppose a population of 250 crickets doubles in size every 6 months. how many crickets will there be after 2 years?

For this case we have a function of the form:

Where,

A: initial value

b: growth rate

x: time in months

Rewriting the equation we have:

When 2 years pass, we have 24 months.

Therefore, substituting the value of x = 24 in the given equation we have:

there will be 4000 crickets after 2 years