CSU Global Campus Week 7 Algebra Population Growth Rate Analysis & Discussion

enfurlqbb

Just \$7 Welcome

Mathematics

# Algebra Population Growth Rate Analysis & Discussion

### Question Description

I’m working on a algebra discussion question and need an explanation to help me study.

Please see below a good solved example for 2019 for the population growth rate analysis. Please use the current year for your posts.
===========================================================

Let’s consider the state of Wisconsin in regard to population growth. As of 2019, the current population is 5,832,661. Wisconsin is the 23rd largest state in the country.

1. The population growth equation is:

P(t)=PoektP(t)=PoektPP ( t ) = P o e k t

Growth Rate = 0.35%

e = Euler’s number (constant) = 2.7183

Population in 2050:

t = 2050 – 2019 = 31 years

P(31) = 5,832,661*e0.0035(31) = 5,832,661*2.71830.1085 = 6501112.58044

The formula and calculations indicate that in 2050 the population of Wisconsin will be approx. 6,501,113.

2. To determine when the population will be doubled:

T=ln2/k

T=ln2/(0.0035) = 0.69/0.0035 =198.042051589

T=198

The population in Wisconsin will double in 198 years.

3. An additional real-world example that can be used for exponential or logarithmic equations is a working budget. If we want to find what our budget would be in 10 years (2029) or 20 years (2039) we can use the logarithmic equation to determine that.

References:

http://worldpopulationreview.com/states/wisconsin-population/=================================================

======================================================================================