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

41,8876 just did test on apex

Explanation:

Answer 2

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

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`