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
To find the number of crickets after 2 years, we need to find the value of f(x) after 24 months (2 years * 12 months/year).
f(x) = 160 * 2^x
After 24 months: f(24) = 160 * 2^24
f(24) = 160 * 16,777,216
f(24) = 2,684,354,560
Therefore, there will be 2,684,354,560 crickets after 2 years.