Chapter 2.1, Problem LC

(a)

To determine

To graph: Debt in billions of dollars as a function of year and population in millions of people as a function of year for the below data:

Year	Debt	Population
$1940$	$51$	$131.7$
$1950$	$257$	$150.7$
$1960$	$291$	$179.3$
$1970$	$381$	$203.3$
$1980$	$909$	$226.5$
$1990$	$3207$	$248.7$
$2000$	$5666$	$274.8$
$2010$	$13,500$	$308.7$

(b)

To determine

To calculate: Average rate of change of the functions debt and population over each ten-year period using the below data:

Year	Debt	Population
$1940$	$51$	$131.7$
$1950$	$257$	$150.7$
$1960$	$291$	$179.3$
$1970$	$381$	$203.3$
$1980$	$909$	$226.5$
$1990$	$3207$	$248.7$
$2000$	$5666$	$274.8$
$2010$	$13,500$	$308.7$

(c)

To determine

To calculate: The difference between consecutive average rates of change of debt and population over ten-year period.

(d)

To determine

Whether the average rates of change of functions debt and population are positive or negative.

(e)

To determine

Whether the differences between consecutive average rates of change of debt and population over ten-year period are mostly positive or negative.

(f)

To determine

Whether federal debt or population is growing out of control by judging from the graphs and the average rates of change.

(g)

To determine

The relationship between the difference between consecutive average rates of change of debt and population and increasing rate of federal debt compared to the population.