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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) 0.72 5.636 29.433 66.642 118.672 175.7 (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 2003 2004 2005 2006 2007 2008 Sales (million iPods) 0.72 5.636 29.433 66.642 118.672 175.7 (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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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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) 0.72 5.636 29.433 66.642 118.672 175.7 (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.
Transcribed Image Text:The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year 2003 2004 2005 2006 2007 2008 Sales (million iPods) 0.72 5.636 29.433 66.642 118.672 175.7 (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.
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