Suppose a population of 160 crickets doubles in every month. The function f(x)=160*2^x gives the population after x months. How many crickets will be there after 2 years?
a. 2,684,354,560 crickets
b. 640 crickets
c. 7,680 crickets
d. 655,360 crickets
To find the population after 2 years, we need to substitute x = 24 into the function f(x) = 160 * 2^x.
f(24) = 160 * 2^24 = 160 * 16,777,216 = 2,684,354,560
Therefore, after 2 years, there will be 2,684,354,560 crickets.
The answer is option a. 2,684,354,560 crickets.