The table shows the numbers of tax returns (in millions) made through e-file from 2007 through 2014. Let f (t) represent the number of tax returns made through e-file in the year t.
Year __________ Number of Tax Returns
.........................Made Through E-File
2007 .................................... 80.0
2008 .................................... 89.9
2009 .................................... 95.0
2010 .................................... 98.7
2011 .................................. 112.2
2012 .................................. 112.1
2013 .................................. 114.4
2014 .................................. 125.8
(a) Find f(2014) - f(2007) / 2014 - 2007 and interpret the result in the context of the problem.
(b) Make a scatter plot of the data.
(c) Find a linear model for the data algebraically. Let N represent the number of tax returns made through e-file and let t = 7 correspond to 2007.
(d) Use the model found in part (c) to complete the table.

(e) Compare your results from part (d) with the actual data.
(f) Use a graphing utility to find a linear model for the data. Let x = 7 correspond to 2007. How does the model you found in part (c) compare with the model given by the graphing utility?

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