00:01
All right, so let's say we have a population growth model that says the population growth as a function of time is equal to some constant k times the population at that time interval.
00:11
So the solution to this, p of t, is going to be some initial population times e to the kt.
00:18
And we like that.
00:21
And so we need to figure out what p, not, and k are.
00:25
But we can do this because we're told that p at zero is equal to five.
00:31
And so that means p .0 is equal to five.
00:34
And then we're also told, sorry, we're told k is equal to one.
00:41
And so our actual population as a function of time just looks like 5e to the t.
00:47
So then the problem asks, what is the population at one second, or at one day, or whatever interval of these are? so this is just going to be 5 times e to the first power...