# Algebra Population Growth Rate Analysis & Discussion

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Mathematics

Colorado State University Global Campus

### 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.

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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/=================================================

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Your task for this discussion is as follows:

- Use the population growth equation to determine the expected population for a state (
*not already chosen by another student)*in the year 2050. Make sure to cite any outside sources used to determine the current growth rate. - Determine when the population will double. (i.e. Doubling Time, T)
- Discuss additional examples of real-world contexts that can be modeled using exponential or logarithmic equations.
- In your responses to peers, compare your results and comment on their additional examples.