Example 3

In 2007, a town decided to plant a new forest. Each year, the forest has times as many trees as the previous year due to the efforts of the town and the trees seeding themselves. Let be a function representing the number of trees in the forest, where represents the number of years that have passed since 2007. The town planted trees in 2007. How many more trees were there in 2009 than in 2008?
1. Determine an equation for . 2. Determine the value of in 2008. 3. Determine the value of in 2009. 4. Subtract the values. This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.