Question

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 246.9 265.0 280.2 295.0 322.3 394.7 425.5 471.1 534.0 565.5 592.1 634.6 695.8 775.7 826.3 938.6 1191.8 Spreadsheet at LarsonAppliedCalculus.com (a) Use a graphing utility to plot the data. Let t represent the year, with-5 corresponding to 1995. (b) A model for the data is 4615.36t- 8726.7 115.01t0.54212" 5 SIs 21 where5 corresponds to 1995. Use the model to estimate the numbers of alternative-fueled vehicles in 1996, 2006, and 201. How do your answers compare to the original data? (c) Use a graphing utility to graph the function with the original data. (d) Find the limit of the function as t approaches infinity (e) Interpret your answer from part (d) in the context of the problem. Does your answer make sense? Explain your reasoning (f) Use the model to predict the numbers of alternative-fueled vehicles in 2016 and 2017. g) Do you think this model could be used to predict the numbers of alternative-fueled vehicles for future years? Explain your reasoning

Project: Alternative-Fueled Vehicles

D: Find the limit of the function as t approaches infinity.

E: Interpret your answer from part (d) in the context of the problem. Does your answer make sense? Explain your reasoning.

Answer 1

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