Question

A city had population 67,255 on January 1,2000, and its population has been increasing by 2935 people each year since then. A linear model for the population p, where t is in years after 2000 is

Answer 1

It is given in the question that

A city had population 67,255 on January 1,2000, and its population has been increasing by 2935 people each year since then.

Here initial population , b, is 67255, and the rate of increase of population is 2935 people each year. And that's the value of the slope .

Using slope intercept form, which is

$y=mx+b$

And substituting the values of m and b, we will get

$p(t)=2935t +67255$