The Internal Revenue Service (IRS) standard mileage rate is a way of computing an automobile expense deduction on a tax return. Mileage rates for businesses are provided in Table 36 for various years.

Let M = f1t2 be the standard mileage rate (in cents per mile) at t years since 2000.
a. Construct a scatterplot.
b. Graph the model f1t2 = 1.83t + 33.08 on the scatterplot. Does it come close to the data points?
c. Find f(13). What does it mean in this situation?
d. Find t when f (t) = 53.What does it mean in this situation?
e. In which years were the standard mileage rates less than 46 cents per mile?

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Table 36 IRS Standard Mileage Rates for Businesses Standard Mileage Rate (cents per mile) Year 2000 2002 2004 2006 2008 2010 2012 2014 32.5 36.5 7.5 44.5 545 50.0 55.5 56.0