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

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.

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.

Horizontal change or the change of x