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The population of a town in 1920 was 3700 people. The town's population decreased linearly, and in 1928 the population was3420. Find a formula for P, the town's population, in terms of t, the number of years since 1920.P(t) =

Respuesta :

We have to find a liner equation

t P

1920 3700

1928 3420

Then we need to find the slope

[tex]m=\frac{3420-3700}{1928-1920}[/tex][tex]m=\frac{-280}{8}=-35[/tex]

Then we need to find the equation

[tex]P-P_1=m(t-t_1_{})[/tex][tex]P-3700=-35(t-1920)[/tex]

The equation is

[tex]P(t)=-35t+70900[/tex]

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