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The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year Sales (million iPods) 2003 2.72 2004 7.136 2005 27.233 2006

The table gives the cumulative sales of iPods since their introduction.Cumulative iPod Sales

Year Sales (million iPods)
2003 2.72
2004 7.136
2005 27.233
2006 69.542
2007 120.672
2008 175.2

(a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from

0 x 5.

(Round all numerical values to three decimal places.)

s(x) =

million iPods (b) Write the derivative for the sales model. (Round all numerical values to three decimal places.)

s'(x) =

million iPods per year (c) Calculate the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.)In 2007, cumulative iPod sales were ---Select--- increasing decreasing by million per year.

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