00:01
Hi, there is a question, it says that the population of rabbits on an island was 15 ,000 in 2010.
00:06
In 2010, the population was 15 ,000 and the observed doubling time is four years.
00:15
So doubling time is four years.
00:16
That means in 2014, it becomes 30 ,000 within four years.
00:25
In what year will the population will reach 1 million? okay, so i will be using n as a function of t equal to n naught e raised to the power kt.
00:42
Let us assume 2010 as base year.
00:45
So this will become nt equal to 15 ,000, which is initial population, e raised to the power k and t.
00:55
Now doubling period is four years.
00:58
So doubling period means it will become 2n naught equal to n naught e raised to the power 4k.
01:05
Canceled out taking l n to both the sides, k will be l n 2 by 4.
01:14
So l n 2 divided by 4, 0 .1732867...