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

Respuesta :

Answer:

Hence correct choice is B. 58,381

Step-by-step explanation:

Given equation is [tex]y=18000(1.04)^x[/tex].

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

[tex]y=18000(1.04)^x[/tex]

[tex]y=18000(1.04)^{30}[/tex]

[tex]y=18000(3.24339751003)[/tex]

[tex]y=58381.1551805[/tex]

Which is approx 58381

Hence correct choice is B. 58,381.