Exponential Growth in real world

Below is an interactive demonstration of the population growth of a species of rabbits whose population grows at 200% each year and demonstrates the power of exponential population growth.

Open problem in own window(easier to see)

A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years?

Answer

A rate off 22% means that each year has 1.22 the amount of the prior year.
You can model this exponential growth with the function below.

Using this same model for exponential growth of the frogs. What will be the frog population in 10 years and in 50 years?

Answer

The equations below show frog population at 10 and 50 years

A type of bacteria has a very high exponential growth rate at 80% every hour. If there are 10 bacteria, determine how many there will be in 5 hours, in 1 day and in 1 week?

Answer

A species of extremely rare, deep water fish has an extremely long lifespan and rarely have children. If there are a total 821 of this type of fish and their growth rate is 2% each month, how many will there be in half of a year? What will be the population be in 10 years and in 100 years?

Answer