Question

The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year Sales (million iPods) 2003 2.82 2004 5.336 2005 27.533 2006 67.042 2007 121.072 2008 175.6 (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 2005. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.) In 2005, cumulative iPod sales were ---Select--- by million per year.

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

Cumulative iPod Sales
Year Sales (million iPods)
2003 2.82
2004 5.336
2005 27.533
2006 67.042
2007 121.072
2008 175.6

(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 2005. (Round your answer to three decimal places.)
million iPods per year

Interpret the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.)
In 2005, cumulative iPod sales were ---Select--- by million per year.

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

Cumulative iPod Sales
Year Sales (million iPods)
2003 2.82
2004 5.336
2005 27.533
2006 67.042
2007 121.072
2008 175.6

(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 2005. (Round your answer to three decimal places.)
million iPods per year

Interpret the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.)
In 2005, cumulative iPod sales were —Select— by million per year.

Added by Sarah B.

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