Question

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

Answer 1

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.