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...