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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

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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

[tex]y=mx+b[/tex]

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

[tex]p(t)=2935t +67255[/tex]

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