Problem: Kudzu is an invasive plant that can spread rapidly if not kept in check. Suppose that kudzu is known to spread 20% per year in a certain area. Suppose you start with an infestation of 0.5 acres.

Required:

A. Use excel to make a table of values of the area that will be covered over a ten year period.

B. When will the size reach 2 acres?

C. Write an equation to represent the size of the infestation for a given year.

D. Kudzu will grow even faster if there is an increase in the supply of CO2. Answer questions (a)-(c) above if the conditions are such that now the growth rate is 40%.

E. Did doubling the growth rate double the size of the infestation for the value at year ten. Explain.