Question

The population of a town can be modeled by the regression equation y = 18,000(1.04x). Which is the best prediction for the population in year 30?

A. 39,440
B. 58,381
C. 68,298
D. 68,298

Answer 1

Hence correct choice is B. 58,381

Explanation:

Given equation is
`y=18000(1.04)^x`.

There x represents number of years. We need to find about which is the best prediction for the population in year 30.

To find that we will plug x=30 into above formula and simplify

`y=18000(1.04)^x`

`y=18000(1.04)^(30)`

`y=18000(3.24339751003)`

`y=58381.1551805`

Which is approx 58381

Hence correct choice is B. 58,381.