00:01
In this logistic growth function, f of t, and it describes the number of people, which is our f of t value, who become ill with the influenza t weeks after an initial outbreak.
00:10
So in part a of this problem, we want to know how many people became ill with the flu when the epidemic began.
00:15
Well, that would mean zero weeks had taken place.
00:18
Therefore, our t value is equal to zero.
00:20
So all we're going to do is substitute zero in place of t.
00:23
So essentially, we're trying to find f of zero.
00:25
So this would equal to 117 ,000 divided by 1 plus 4 ,600, all rate or times e raised to the negative zero power.
00:35
Now, keep in mind that anything raised to the zero power is equal to 1, which means we have 117 ,000 divided by 1 plus 4 ,600.
00:45
Well, 1 plus 4600 is 4601.
00:48
So we'll have 117 ,000 divided by 4 ,6001.
00:53
So now we can go to our calculator.
00:55
So we're going to have 117 ,000.
00:57
Divided by 4 ,601...