Following the Law of Uninhibited Growth, if there are initially 1000 mosquitoes in a colony and 1900 mosquitoes after 1 day.
What is the size of the colony after 4 days?
And about how many days until the colony reaches 40,000?
What is the size of the colony after 4 days?
And about how many days until the colony reaches 40,000?

M(t) = M(0) x e^kt......where M(t) is the number at time t and M(0) is the starting amount.
=> 1900 = 1000 x e^k
=> e^k = 1.9
i.e. k = ln1.9 = 0.642
so, M(t) = 1000 x e^0.642t
then, if the population is 40,000 we have:
40000 = 1000 x e^0.642t
=> e^0.642t = 40
i.e. 0.642t = ln40
=> t = 5.7 days
:)>
=> 1900 = 1000 x e^k
=> e^k = 1.9
i.e. k = ln1.9 = 0.642
so, M(t) = 1000 x e^0.642t
then, if the population is 40,000 we have:
40000 = 1000 x e^0.642t
=> e^0.642t = 40
i.e. 0.642t = ln40
=> t = 5.7 days
:)>