Suppose a population of 160 crickets doubles in size every month. The function f left parenthesis x right parenthesis equals 160 times 2 superscript x baseline gives the population after x months. How many crickets will there be after 2 years?
(1 point)
Responses
2,684,354,560 crickets
2,684,354,560 crickets
640 crickets
640 crickets
7,680 crickets
7,680 crickets
655,360 crickets
To find the number of crickets after 2 years, we need to substitute x = 12 (since there are 12 months in a year) into the function f(x) = 160 * 2^x.
f(12) = 160 * 2^12
f(12) = 160 * 4096
f(12) = 655,360 crickets
Therefore, there will be 655,360 crickets after 2 years.