82. National Debt The size of the total debt owed by the United States federal government continues to grow. In fact, according to the Department of the Treasury, the debt per person living in the United States is approximately (or over per U.S. household). The following data represent the U.S. debt for the years 2001—2014. Since the debt D depends on the year y, and each input corresponds to exactly one output, the debt is a function of the year. So D(y) represents the debt for each year y.
(a) Plot the points , , and so on in a Cartesian plane.
(b) Draw a line segment from the point to . What does the slope of this line segment represent?
(c) Find the average rate of change of the debt from 2002 to 2004.
(d) Find the average rate of change of the debt from 2006 to 2008.
(e) Find the average rate of change of the debt from 2010 to 2012.
(f) What appears to be happening to the average rate of change as time passes?
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