Question

The fictitious state of Aribraska has a graduated state income tax.
Residents pay 3% on the first $15,000 of income.
The next $25,000 earned is taxed at a rate of 5%.
Any money earned above $40,000 is taxed at 7%.
The income tax for Aribraska is modeled by a piecewise defined function.
Over which part of the domain is the piecewise function defined as
f(x) = 0.05x – 300?






An Aribraska resident who earns $32,000 would owe how much in tases?

$1,300

$1,600

$1,740

Answer 1

Answer:

$1300

Step-by-step explanation:

Answer 2

The amount owed in taxes by the Aribraska resident who earns $32000 is; A: $1300

How to Solve Piecewise Functions?

We are given the Piecewise Function as;

f(x) = 0.05x – 300

where x represents the amount earned by an aribraska resident

f(x) represents the amount owed in taxes

We are told that An Aribraska resident earns $32,000. Thus;

Amount owed in taxes is;

f(32000) = 0.05(32000) - 300

f(32000) = $1300

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