In 2004, a school population was 1224. By 2008 the...

In 2004, a school population was 1224. By 2008 the population had grown to 1836. 1) How much did the population grow between the year 2004 and 2008? 612 students 2) How long did it take the population to grow from 1224 students to 1836 students? 4 years 3) What is the average population growth per year? 153 students/year 4) What was the population in the year 2000? 612 students 5) Find an equation for the population, P, of the school t years after 2000. P = 153(t) + 1836 6) Using your equation, predict the population of the school in 2014. 2759 students

Transcript

00:01 All right, so in this problem, we're kind of given, we know that in the year 2004, we had 1 ,224 people was the population somewhere, whatever it is, population.

00:19 And then over here in 2008, the population was 1836.

00:26 And you answered all the questions correctly.

00:28 So the first one where it said, how much did the population increase? you just subtracted them.

00:38 Perfect.

00:39 It says, how long did it take to go from 1 ,224 to 1 ,836? obviously, four years, right? so you did that.

00:51 Perfect.

00:52 It says, what is the average population growth per year? year, you got 153.

00:59 So the growth per year, i'm going to write this down, per year was 153 students per year.

01:13 And you got that right.

01:14 So these are all right.

01:16 Then it says, what is the population in the year 2000? okay, well, you can work backwards.

01:23 So if we go backwards to 2000, 2000, we have to go backwards with our population.

01:31 And we'll remember this was 612.

01:38 Yeah.

01:39 So the difference here is 612.

01:43 So to go backwards, we need to subtract 612 and we get 612 was our population.

01:49 You got that right, even though it wasn't given to us in 2000.

01:52 All right.

01:52 Now you missed the last two.

01:54 So we got to find an equation for the population of the school t years after.

02:01 Now the key thing is 2000.

02:04 So our population is going to be, we have to start with 2000...

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