The Forever Green Nursery owns 7000 white pine trees. Each year, the nursery plans to sell 12% of its trees and plant 600 new ones.
a. Find the number of pine trees owned by the nursery after 10 years.
b. Find the number of pine trees owned by the nursery after many years, and explain what is occurring.
c. What equation can you solve to find the number of trees in the long run?
d. Try different starting totals in place of the 7000 trees. Describe any changes to the long-run value.
e. In the fifth year, a disease destroys many of the nursery's trees. How does the long-run value change?