The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year 2003...

 

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The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year 2003 2004 2005 2006 2007 2008 Sales (million iPods) 2.82 7.036 29.433 69.442 120.672 173.9 (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) = 6.435x²-35.468x + 48.844 million iPods X (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 2008. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2008. (Round your answer to three decimal places.) In 2008, cumulative iPod sales were --Select-- by million per year. The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year 2003 2004 2005 2006 2007 2008 Sales (million iPods) 2.82 7.036 29.433 69.442 120.672 173.9 (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) = 6.435x²-35.468x + 48.844 million iPods X (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 2008. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2008. (Round your answer to three decimal places.) In 2008, cumulative iPod sales were --Select-- by million per year.

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