Question

The table below shows a recent state income tax schedule for individuals filing a return. 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 $0 | $15,000 | 3.5% of taxable income $15,000 | $30,000 | $525 plus 5.95% of excess over $15,000 $30,000 | | $1417.50 plus 6.45% of excess over $30,000. a. Write a piecewise definition for the tax due T(x) on an income of x dollars. T(x) = { if 0 <= x <= 15,000 525 + .0595(x - 15000) if 15,000 < x <= 30,000 1417.50 + .0645(x - 30000) if 30,000 < x

          The table below shows a recent state income tax schedule for individuals filing a return.
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
$0 | $15,000 | 3.5% of taxable income
$15,000 | $30,000 | $525 plus 5.95% of excess over $15,000
$30,000 | | $1417.50 plus 6.45% of excess over $30,000.

a. Write a piecewise definition for the tax due T(x) on an income of x dollars.
T(x) = {
if 0 <= x <= 15,000
525 + .0595(x - 15000) if 15,000 < x <= 30,000
1417.50 + .0645(x - 30000) if 30,000 < x

The table below shows a recent state income tax schedule for individuals filing a return.
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
0 |15,000 | 3.5% of taxable income
15,000 |30,000 | 525 plus 5.95% of excess over $15,00030,000 | | 1417.50 plus 6.45% of excess over $30,000.

a. Write a piecewise definition for the tax due T(x) on an income of x dollars.
T(x) =
if 0 <= x <= 15,000
525 + .0595(x - 15000) if 15,000 < x <= 30,000
1417.50 + .0645(x - 30000) if 30,000 < x

Added by Luis D.

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