Chapter 1.2, Problem 74E

State income tax. Table 6 shows state income tax rates for individuals filing a return in Louisiana.

1. (A)   Write a piecewise definition for T(x), the tax due on a taxable income of x dollars.
2. (B)   Graph T(x).
3. (C)   Find the tax due on a taxable income of $32,000. Of $64,000.
4. (D)   Would it be better for a married couple in Louisiana with two equal incomes to file jointly or separately? Discuss.

Table 6 Louisiana State Income Tax

Single, married filing separately, or head of household:
Over	But not over	Tax due is
$0	$12,500	2% of taxable income
$12,500	$50,000	$250 plus 4% of excess over $12,500
$50,000		$1,750 plus 6% of excess over $50,000