The population of a suburb of Milwaukee has shown a linear...

The population of a suburb of Milwaukee has shown a linear growth in the years 1992-2006. The population in 1992 was 22200 people and it has been growing at a rate of 310 people per year. A) Write a linear equation expressing the population of the town, P, as a function of t, the number of years since 1992. Answer: B) If the town is still experiencing a linear increase, what will the population be in 2010?

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00:03 All right, we're told that in a city, milwaukee or something, i think it was.

00:09 In 1992, there were 22 ,200 people, and it has a linear growth, pretty uncommon for population, i would think, but it grows 310 people per year.

00:18 That is a constant rate of growth.

00:20 That means it would be a linear function that we're dealing with, and that's what they asked us to write, is write a function for the number of people, according to t, where t is the number of years since 1992.

00:33 So t equals number of years since the start since 1992.

00:43 All right.

00:43 And so what we're going to do is we're going to start off.

00:45 We're going to say, well, p of t is equal to.

00:49 Well, i know that it grows at a constant rate.

00:51 So this is really the slope of my line.

00:53 So 310 times each year.

00:59 So each year it gains another 310.

01:02 So after one year, we would.

01:03 Have 310 extra people after two years i'd have to double in and get 620 so i have to multiply that by t the number of years but that's just the number of people that have been added don't forget to add in the initial amount that 22 ,200 people so here's a formula for p of t that we can use to figure out how many people there are in a given year since 1992 all right now b asks how many in how many people are there going to be in 2010? 201...

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