Question

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?

Answer 1

Answer:

41,8876 just did test on apex

Step-by-step explanation:

Answer 2

Answer:

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

$a=20,000\ people$

$b=1.03$

$b=1+r$

$r=b-1=1.03-1=0.03$

$r=3\%$

so

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

For $x=25\ years$

substitute

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

$y=41,875.56\ people$

Round up

$y=41,876\ people$