Chapter 1.2, Problem 45E

(a)

To determine

The correct function that best fits the data provided in the table that shows the annual spending by all states in the United States on corrections:

Year t since $1990$	$0$	$2$	$4$	$6$	$7$
Spending ( $\$$ billion)	$16$	$18$	$22$	$28$	$30$

The options are:

A)$S\left(t\right)=-0.2t^2+t+16$

B)$S\left(t\right)=0.2t^2+t+16$

C)$S\left(t\right)=t+16$

(b)

To determine

To calculate: The spending on corrections in the year $1998$ using the answer of part (a) assuming that the trend continues, where the table that shows the annual spending by all states in the United States on corrections:

Year t since $1990$	$0$	$2$	$4$	$6$	$7$
Spending ( $\$$ billion)	$16$	$18$	$22$	$28$	$30$