Question

According to the 2010 United States Census, the population of a town was 96297, roughly a 14% increase from 84471 in 2000.

Construct an exponential model to predict the town's population each decade. Use your model to predict the population of the town in 2030.
(Express your answer rounded up to the nearest person.)

Answer 1

125146 or 119948

Explanation:

1. 125146

2000 84471

2010 84471(1+14%)=96297

2020 96297(1+14%)=109778

2030 109778(1+14%)=125146

2. 119948

10 years 14% increase

30 years 3*14%=42% increase

84471(1+42%)=119948

Answer 2

125,148 to the nearest person.

Explanation:

To calculate the next decade's population if the increase is 14% we multiply by 1.14. So we have the formula:

P = 84471(1,14)^n where n is the number of decades after 2000.

The predicted population in 2030 is:

84471(1.14)^3

= 125147.5.