2 the per capita growth rate of country y in the year 2024...

2. The per capita growth rate of country Y in the year 2024 was 5%. If the population size of country Y was 10 million at the beginning of 2024, what was the final population size at the end of 2024? Note: Per Capita Population Growth Rate = (Final Pop. Size - Initial Pop. Size) divided by Initial Pop. Size times 100% (Single choice) 10.1 million 10.2 million 10 million 10.5 million 10.4 million

Transcript

00:01 So we're given a bunch of information about population growth of some country between the years 2010 and 2015.

00:09 Now, if we think about 2010 as being like year zero, this can help us kind of organize our information to help us figure out like an estimate for what year the population would reach 40 million.

00:29 So 2010, we'll call it year zero, but what we really care about is in between 2013 and 2015, which would be year three and year five, the growth was 0 .35 million per year per year.

00:53 And we know that just from being, if this is 0 .7 million for every two years, that means it's 0 .35 per year.

01:05 And we'll call our year as x.

01:07 So 0 .35x.

01:10 And then this would be the population, which we call our y.

01:14 So the relationship between population and the number of years since 2010, we can show it as 0 .35x.

01:25 But the problem is that there has to be some like initial value, which we also know is our y intercept.

01:32 So let's substitute in one of our values.

01:34 We'll use 2015 to help us come up with what that in.

01:39 It's an imaginary real initial value because we know what it is in 2010.

01:44 But thinking about this being linear, we have to have some initial value that we could use here.

01:51 So our our y value would be 39 and 110th.

01:56 And our x value would be 5 for 2015.

02:03 3 ,500 times 5 is 1 in 7 ,700s...

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