Suppose a population of 160 crickets doubles in size every month. The function f(x) - 160. 2^x gives the population after x months. How many crickets will there be after 2 years?
(1 point)
• 2,684,354,560 crickets
• 7,680 crickets
• 655,360 crickets
• 640 crickets
To find the population after 2 years, we need to calculate f(24), since there are 12 months in a year and 2 years is equal to 24 months.
f(24) = 160 * 2^24
= 160 * 16,777,216
= 2,684,354,560
Therefore, there will be 2,684,354,560 crickets after 2 years.
The correct choice is:
• 2,684,354,560 crickets.