Chapter 1.2, Problem 19E

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

Tax Owed The following table shows the income tax $T$ owed in a certain state as a function of the taxable income $I$, both measured in dollars.

$I=Taxableincome$	$T=Taxowed$
$16,000$	$870$
$16,200$	$888$
$16,400$	$906$
$16,600$	$924$

a. Make a table showing, for each of the intervals in the tax table above, the average rate of change in $T$.

b. Describe the general trend in the average rate of change. What does this mean in practical terms?

c. Would you expect $T$ to have a limiting value? Be sure to explain your reasoning.