Question

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1900 after 1​ day, what is the size of the colony after 4 ​days? How long is it until there are 40,000 ​mosquitoes? What is the size of the colony after 4 ​days?

Answer 1

5832 mosquitoes

Explanation:

As we know

`A = A_0 * e^(kt)\\`

Where A is the population after t days

A0 is the initial population

k is rate constant and

t is the time in days

Substituting the given values we get

`1900 = 1000 * e^(1 * k)\\1.9 = e^(1 * k)\\k = 0.587`

Size of colony after 4 days

`A = 1000 * e^ {(0.587*4)}\\A = 5832`mosquitoes