ECONOMICS: National Debt The national debt (the amount of money that the federal government has borrowed from and therefore owes to the public) is approximately D(x) = 496x + 5378 billion dollars, where x is the number of years since 2000. The population of the United States is approximately P(x) = 2.57x + 279 million.
a. Enter these functions into your calculator as y1 and y2, respectively, and define y3 to be y1 ÷ y2, the national debt divided by the population, so that y3 is the per capita national debt, in thousands of dollars (since it is billions divided by millions). Evaluate y3 at 10 and at 20 to find the per capita national debt in the years 2010 and 2020. This is the amount that the government would owe each of its citizens if the debt were divided equally among them.
b. Use the numerical derivative operation NDERTV to find the derivative of y3 at 10 and at 20 and interpret your answers.
Source: U.S. Census Bureau
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