National Debt The size of the total debt owed by the UnitedStates federal government continues to grow. In fact,according to the Department of the Treasury, the debt perperson living in the United States is approximately $53,000(or over $140,000 per U.S. household). The following datarepresent the U.S. debt for the years 2001–2014. Since thedebt D depends on the year y, and each input correspondsto exactly one output, the debt is a function of the year. SoD1y2 represents the debt for each year y. Source: www.treasurydirect.govDebt (billions Debt (billionsYear of dollars) Year of dollars)2001 5807 2008 10,0252002 6228 2009 11,9102003 6783 2010 13,5622004 7379 2011 14,7902005 7933 2012 16,0662006 8507 2013 16,7382007 9008 2014 17,824 (a) Plot the points 12001, 58072, 12002, 62282, and so on ina Cartesian plane.(b) Draw a line segment from the point 12001, 58072 to12006, 85072. What does the slope of this line segmentrepresent?(c) Find the average rate of change of the debt from 2002 to2004.(d) Find the average rate of change of the debt from 2006 to2008.(e) Find the average rate of change of the debt from 2010 to2012.(f) What appears to be happening to the average rate ofchange as time passes?
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 $53,000
(or over $140,000 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
D1y2 represents the debt for each year y.
Source: www.treasurydirect.gov
Debt (billions Debt (billions
Year of dollars) Year of dollars)
2001 5807 2008 10,025
2002 6228 2009 11,910
2003 6783 2010 13,562
2004 7379 2011 14,790
2005 7933 2012 16,066
2006 8507 2013 16,738
2007 9008 2014 17,824
(a) Plot the points 12001, 58072, 12002, 62282, and so on in
a Cartesian plane.
(b) Draw a line segment from the point 12001, 58072 to
12006, 85072. 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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