Tinyville's rival town is Punyville. Punyville's population at the end of 2004 had reached 375,000 but was now starting to decline geometrically. Its population at the end of each of the past three years is shown in the table below.

Year	2004	2005	2006
Population	375000	367500	360150

a. What will Punyville's population be at the end of 2007? At the end of 2008? t years after 2006? Write your answer to the last question using function notation.

b. What is the annual percentage decay rate for the population of Punyville? How does this number show up in your expression for Punyville's population t years after 2006?

c. On a coordinate axis system sketch a graph of Tinyville's population fort = 0 years to t = 15 years. On the same coordinate axis system sketch a graph of Punyville's population over the same time period.

d. When will the population of Punyville reach 300,000? Use 3-decimal place accuracy.

e. Based on your graph, when will Punyville's population first drop below Tinyville's? Now answer the same question but use 3-decimal place accuracy.