Data Analysis: Snowboarders The table shows the numbers of people (in millions) in the

Chapter 8, Problem 90

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Data Analysis: Snowboarders The table shows the numbers of people (in millions) in the United States who participated in snowboarding for selected years from 1997 to 2001. (Source: National Sporting Goods Association) (a) Use a system of equations to find the equation of the parabola that passes through the points. Let represent the year, with corresponding to 1997. Solve the system using matrices. (b) Use a graphing utility to graph the parabola. (c) Use the equation in part (a) to estimate the number of people who participated in snowboarding in 2003. How does this value compare with the actual 2003 value of 6.3 million? (d) Use the equation in part (a) to estimate in the year 2008. Is the estimate reasonable? Explain.

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