Question

The population of turtles is doubling every 3 months. If there are 400 turtles now, how many will there

be in 2 years?

Answer 1

In three months it would be eight hundred, in six months it would be 1600, in nine months it would be 3200, in twelve months it would be 6400, in fifteen months it would be 12800, in eighteen months it would be 25600, in twenty one months it would be 51200, in twenty four months it would be 102400.

Explanation:

The turtle population, with it doubling every three months and beginning with 400 turtles, would have around 102,400 turtles at the end of the two year period, that being the case, this calculation is only valid if the numbers raised exactly by doubling every three months and that no turtles died in the two year process.

Answer 2

First we need to know how many months is 2 years. To answer that we multiply the number of months in a year by 2 and get 48 months.

Every 3 months the population of turtles doubles, but to get how many times the population doubles, you need to divide 48 months by 3 to get 16.

So population of 400 will get doubled 16 times in the following two years.

We construct the following equation where
`p` is the final population,

`p=400\cdot2\cdot16=\boxed{12800}`

Hope this helps. :)