00:02
Let's take a look at this rabbit population.
00:07
And this rabbit population is growing by 11 .7 % per day.
00:15
So first thing i want to do is just write the number for that down.
00:18
So that's 0 .0 or 0 .117.
00:24
Now when we talk about population growing, we always start with the number for 100%.
00:30
So it's 100 % of the rabbits.
00:32
So 1 plus 11 .7 % more each day.
00:40
So plus the 0 .117.
00:43
So i'm growing, the number i want to use is 1 .117.
00:50
Now we're given more information that the initial population is 100.
00:57
So i'm going to take my 100 and say i need to multiply by that 1 .117.
01:04
That will give me how much i have after one year, and then again, then again, then again.
01:10
And since i keep repeating that multiplication by the 11 .7%, i need to raise this to the power t.
01:17
This is going to be equal to our population.
01:20
So the population is dependent on t.
01:24
So question number one, it says, what is the population after seven days? so i'm going to do 100, and i'm my 1 .117, and i want to raise that to the power...