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

(A) Write a piecewise definition for T(x), the tax due on a taxable income of x dollars.

(B) Graph T(x).

(C) Find the tax due on a taxable income of $32,000. Of $64,000.

(D) Would it be better for a married couple in Louisiana with two equal incomes to file jointly or separately? Discuss.

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