Mathematics: The population of a town can be modeled by the regression equation y = 20,000(1.03x). which is the best prediction for the population in year 25?

TR is tangentSV and ST are chordsOT is perpendicular...

The population of a town can be modeled by the

sctenk6052

13.03.2022

The best prediction for the population in year 25 is $41,876\ people$

Step-by-step explanation:

we have a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

In this problem

$a=20,000\ people$

b=1.03

b=1+r

r=b-1=1.03-1=0.03

$r=3\%$

$y=20,000(1.03^{x})$

For $x=25\ years$

substitute

$y=20,000(1.03^{25})$

$y=41,875.56\ people$

Round up

$y=41,876\ people$

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