Answered: If Your Taxable But The Tax Of the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Here is the Federal Tax Rate Schedule X (see attached) that specifies the tax owed by a single taxpayer for a recent year.

The given tax table can be modeled by a piecewise function (see attached), where x represents the taxable income of a single taxpayer and T(x) is the tax owed.

Then, Find the algebraic expression for the missing piece of T(x) that models tax owed for the domain (174,400, 379,150].

If Your
Taxable
But
The Tax
Of the
Income
Not
You
Amount
Is Over
Over
Owe Is
Over
$ 8500
$ 34,500
$ 83,600
$
10%
2$
$ 8500
$ 34,500
$ 83,600
$ 8500
$ 34,500
$ 83,600
$
850.00 + 15%
$ 4750.00 + 25%
$ 17,025.00 + 28%
$ 42,449.00 + 33%
$174,400
$174,400
$379,150
$174,400
$379,150
$110,016.50 + 35%
$379,150

0 <xs 8500
8500 <xs 34,500
4750.00 + 0.25(x – 34,500) if 34,500 <xs 83,600
0.10x
if
850.00 + 0.15(x - 8500)
if
T(x) =
17,025.00 + 0.28(x – 83,600) if 83,600 < xs 174,400
if 174,400 < x s 379,150
?
?
if
x> 379,150.

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