Question

Suppose a population of 40 crickets doubles in size every month. the function gives the population after x months. how many crickets will there be after 3 years?

Answer 1

The function is given by:
f(x)=40(2)^x
where x is in months
he population after 3 years will be found as follows:
x=3 years=3×12=36 months
thus the population after 3 years will be:
f(36)=40(2)^36
f(36)=2.748779069×10^12