Thought Provoking Questions:

• How quickly will the thickness of a piece of paper grow as it is repeatedly folded in half?
• How many questions would you need to ask to be able to guess a number which had been picked between 1 and 1000?

Necessary Background:

You should remember what you have learned about exponential functions and also about logistic functions. Think about their growth patterns.

Assignment:

Use your calculators to examine what would happen if a population of a given size, p, which grows at a certain rate, r, each year. Make a table for the results after 5, 10, 15 and 20 years for 6 different combinations af a and r. Make a table of the results.