00:01
We have a population of mosquitoes that follow the law of unimited growth, which is basically this formula here.
00:08
They want us to express it, though, in terms of n.
00:11
So we're going to end of t equals the initial amount, which we're going to call n -s -0 -e to the k -t.
00:21
So now it says the population of mosquitoes are basic, if there are 1 ,000 mosquitoes initially, so that means n -s -0 equals 1 ,000, and there are 11500 after one day.
00:33
What is the size of the colony after four days? so we're going to see our new formula is going to be here.
00:44
And we know that after one days, that means t equals 1, there's going to be 1, there's going to be 1 ,000.
00:50
So that's going to be our n of t.
00:53
So we're going to say 1500 equals 1 ,000 e to the k.
00:59
So we're going to divide that by that thousand and that's going to be eliminate those 15 over 10 equals e to the k.
01:10
Now let's take the natural log of both sides which means then that k is going to be the natural log of 15 over 10...