The revenue, R, (in billion dollars) of the Polo Ralph Lauren Corporation from 2002 through 2009 is given in the table.Polo Ralph Lauren Corporation Annual Revenue

Year	Revenue (billion dollars)
2002	2.36
2003	2.44
2004	2.65
2005	3.31
2006	3.75
2007	4.30
2008	4.88
2009	5.02

(a) Use the data to estimate the interval in which revenue was growing most rapidly. 2004 to 20052005 to 2006 2006 to 20072007 to 2008 (b) Find the function for the logistic model that gives revenue of the Polo Ralph Lauren Corporation in billion dollars where t is the number of years since 2000, with data from

2 t 9.

(Round all numerical values to three decimal places.)

R(t)

=

0.0163x

billion dollars (c) Find the first derivative of the model in part (b). (Round all numerical values to three decimal places.)

R'(t)

=

billion dollars per year (d) Determine the year in which revenue was growing most rapidly. (Round your answer to the nearest year.) Find rate of change of revenue in that year. (Round your answer to three decimal places.) $ billion per year