Question

The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000 mosquitoes initially and there are 1600 after 1​ day, what is the size of the colony after 4 ​days

Answer 1

6554 Assuming that the growth the function will be of the form f(n) = P*R^n where P = Initial population R = Growth rate per period n = number of periods In this problem, the only period or interval I see are days. So we'll use n to represent the number of days since the start. The initial population is 1000, and the ratio would be 1600/1000 = 1.6. So the formula becomes f(n) = 1000*1.6^n So let's evaluate that function using n=4. f(n) = 1000*1.6^n f(4) = 1000*1.6^4 f(4) = 1000*6.5536 f(4) = 6553.6 Since we can't have a fractional mosquito, round to the nearest integer, giving 6554.