Chapter 1.2, Problem 28E

Reminder Round all answers to two decimal places unless otherwise indicated.

Defense Spending Data about recent federal defense spending are given in the accompanying Statistical Abstract of the United States table. Here $t$ denotes the time, in years, since 1990 and $D$ denotes federal defense spending, in billions of dollars.

a. Calculate the average yearly rate of change in defense spending from 1990 to 1995.

b. Use your answer from part a to estimate $D\left(3\right)$, and explain what it means.

$t=$ Years since 1990	$D=$ Spending (billions of dollars)
$0$	$328.4$
$5$	$310.0$
$10$	$341.5$
$15$	$565.5$
$20$	$843.8$

c. Calculate the average yearly rate of change in defense spending from 2005 to 2010.

d. Use your answer form part c to estimate the value of $D\left(22\right)$.