Question 1063351: (See Week 2 Lecture page “Piecewise-Defined Functions” for a starting point.) Income tax in a particular country is calculated according to the following rate schedule:
5% on the first $19,000 of income
13% on the next $28,000 of income
21% on any further income
a. How much income tax should be paid by someone making $31,300?
b. How much income tax should be paid by someone making $71,900?
c. Construct a piecewise function that gives the tax for $x of income
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! $31,300 is partitioned into
$19,000@ 5%=$950
$12,300@ 13%=$1599
Total is $2549.
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For $71,900
$19,000 @5%=$950
$28,000@12%=$3360
$24,900@21%=$5229
Total=$9539.
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For x<= $19,000, it is 0.05x
For $19,000 < x < =$47,000, it is $950+ 0.13(x-19,000)
For x> $47,000, it is $4310+0.21 (x-47,000)
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