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 60,000 mosquitoes? what is the size of the colony after 4 days? mosquitoes (round to the nearest whole number.) how long is it until 60,000 mosquitoes are in the colony? days (round to the nearest tenth.)

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

A = 1900 when x = 1,

Thus, the required function that represents the population after x days,

If x = 4,

The number of mosquito after 4 days,

If A = 60,000,

Taking log both sides,

Thus, there will 60,000 mosquitoes after 5 days.

step-by-step explanation: