The population of a rural community was 3050 in 2010 and the population had increased to 3500 in 2015. Assuming exponential growth find the following. a. The growth rate to 4 decimal places and as a percentage. b. Estimate the population in 2018 if the trend continues.

necessaryh 2021-02-26 Answered
The population of a rural community was 3050 in 2010 and the population had increased to 3500 in 2015. Assuming exponential growth find the following.
a. The growth rate to 4 decimal places and as a percentage.
b. Estimate the population in 2018 if the trend continues.
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Expert Answer

Demi-Leigh Barrera
Answered 2021-02-27 Author has 97 answers

a)population in 2010, Po=3050
population in 2015, p=3500
time in years, t=5
use the exponential growth model
p=po(1+r)t
3500=3050(1+r)5
7061=(1+r)5
706115=1+r
r=1.02791
r=0.0279
Therefore the growth rate is 0.0279 or 2.79%
b)for 2018,t=8
p=po(1+r)t
=3050(1+0.0279)8
3801
Therefore, the population is 3801 in 2018

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