Population Growth

Use the formula P(1 + r)ⁿ In this formula, P represents the initial population we are considering, r represents the annual growth rate expressed as a decimal and n is the number of years of growth.

Search the Internet and determine the most recent population of Georgia. A good place to start is the U.S. Census Bureau (www.census.gov) which maintains all demographic information for the country. If possible, locate the annual growth rate for Georgia. If you cannot locate this value, feel free to use the growth rate (0.9%) .

Determine the population of Georgia 10 years from now.

Determine how long and in what year the population Georgia may double assuming a steady annual growth rate.

Look up the population of Stone Mountain,GA . If possible, find the annual percentage growth rate of Stone Mountain,GA (use 0.9% if you can not locate this value).

Determine the population of Stone Mountain,GA in 10 years.

Determine how long until the population of Stone Mountain, GA doubles assuming a steady growth rate.

Discuss factors that could possibly influence the growth rate of your city and state.

Do you live in a city or state that is experiencing growth?

Is it possible that you live in a city or state where the population is on the decline or hasnt changed?

How would you solve this problem if the case involved a steady decline in the population (say -0.9% annually)? Show an example.

Think of other real world applications (besides monitoring and modeling populations) where exponential equations can be utilized.