The table shows the mean salaries S (in thousands of dollars) of public school classroom teachers in the United States from 2002 through 2013.

A model that approximates these data is S = 40.32 + 3.53t / 1 + 0.039t, 2 ‰¤ t ‰¤ 13
where t represents the year, with t = 2 corresponding
to 2002.
(a) Use a graphing utility to create a scatter plot of the data. Then graph the model in the same viewing window.
(b) How well does the model fit the data? Explain.
(c) Use the model to predict when the salary for classroom teachers will exceed $65,000.
(d) Is the model valid for long-term predictions of classroom teacher salaries? Explain.

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Year Salary, S DATA 2002 44.7 2003 45.7 2004 46.5 2005 47.5 49.1 2006 2007 51.1 2008 52.8 2009 54.3 2010 55.2 2011 56.1 2012 55.4 2013 56.4 Spreadsheet at LarsonPrecalculus.com