00:01
According to the 2010 u .s.
00:02
Census, the population of sebastian was 21 ,869, and in 2020, 25 ,44, if we use the exponential growth model, we want to write a growth function.
00:13
So first we need to round, we need to find the constant k.
00:18
So we know that there was 25 ,544, and initially 21 ,869 times e to the k, it's a 10 years to get to that change.
00:34
So the first step would be to divide both sides by 21 ,0869.
00:39
That way this is gone.
00:41
Then we'll take the natural log of both sides.
00:50
What that's going to do is counteract the exponential base e so that it is gone.
00:57
And then we just have k times 10.
00:59
So divide by 10 and we have our constant.
01:04
So our growth model will be y equals.
01:11
2 ,869 e2v.
01:20
Let's find out what k is to four significant figures.
01:24
So it's the natural log of 25544 over 21869 divided by 10...