00:01
Hello, welcome to this lesson.
00:02
This lesson, we have a small city that had a population of 110 ,000 in 2010.
00:12
Now they passed a growth control ordinance, limiting the growth to 2 .4 % each year.
00:26
So we are looking at the first part, we are looking at if this is the annual growth, if to 2 .4 % each year.
00:34
2 .4 % is the annual growth will be the population in 2020.
00:42
So here we have the time at 0 in 2010.
00:59
And now in 2020 the time would be 10.
01:05
And now this is growing at a rate that is 2 .4%.
01:14
Okay.
01:16
So in 2011 it would become 2 .4 in 2012 it would become 4 .4 it would become 4 .8 so it goes on and on okay so by the time it gets to 2020 it would become 24 percent so it will become 24 percent the growth will be 24 percent so what we do is that we multiply 110 ,000 by 24 % and added to the 110 ,000, that that would be the whole growth in 2020.
02:17
The next thing that we will do is that now we have 24 % growth.
02:23
So it's actually, we have 24 % growth.
02:25
So it's actually, 1 .24 % times the original number and that would be so all we do is that we have two ways of doing this now that we know the percentage in 2020 is 24 % growing annually incrementing by 2 .4 annually for 10 years we can multiply 24 % by 110 ,000, which is 26 ,400.
03:23
So 26 ,400.
03:28
Then we added to the 110 ,000.
03:37
So in a 10 years, this is the growth.
03:42
But we started from 110 ,000 so if we add everything you're having 136 ,400 so that is a growth so 136 400 yeah so recap on what we did looking at the population in 2020 we have the rate that is equal to 24 % and we have the original population that is equal to 110 ,000 so population in 2020 became 24 % times the 110 ,000 that represent the increase plus the original population that we had.
05:22
So over the 10 years, it grew by 24 % times the original value.
05:28
Now we are adding the original value.
05:32
And this we had us 13640.
05:43
So let's go to the second question.
05:49
The first part, the second part, we are looking at the maximum growth rate.
06:03
If they cap that to prevent the population from rich in 2025, we are looking at the maximum growth rate...