suppose a population of 160 cricket doubles in size every month. the function f(x)=160⋅2^x give the population after x months. how many crickets will be after after 2 years?
To find the population after 2 years, we need to substitute x = 24 into the given function:
f(x) = 160 * 2^x
f(24) = 160 * 2^24
Using exponentiation, we can simplify 2^24:
f(24) = 160 * 16,777,216
Calculating the product:
f(24) = 2,684,354,560
Therefore, there will be approximately 2,684,354,560 crickets after 2 years.