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The table below shows a recent state income tax schedule for individuals filing a return. K SINGLE, HEAD OF HOUSEHOLD, OR MARRIED FILING SEPARATE SINGLE, HEAD OF HOUSEHOLD, OR MARRIED FILING SEPARATE If taxable income is Over But Not Over Tax Due Is $15,000 3% of taxable income $15,000 $30,000 $450 plus 6.15% of excess over $15,000 $30,000 $1372.50 plus 6.65% of excess over $30,000. a. Write a piecewise definition for the tax due T(x) on an income of x dollars if O Sx5 15,000 T(x) = if 15,000