Question

The currency in a certain country is called the sirktian. In this country's tax system, a person pays O sirktions on the first 26,700 sians eamed. They then pay a fiat tax of 27% on everything over 26,700 sirians. This information is summarized in the following tax table Income in sirktians) Tax Rate 0-26,700 Over 26,700 27% 2. How many sins in taxes are owed for an individualeaming 28,500 siriana? The individual carving 28,500 sirktians owes siktians in taxes. b. Find the piecewise function, Tox), that describes the amount of taxes paid, Tas a function of its earned for individuals paying personal income tax in this country Os 26,700 TIN) 26,700 (Simplify your answer) c. Sketch the piecewise function, TX). Choose the correct graph ОА ов. OC OD AT 100.000 ATOU 100.000 AT 100,000 AT 100.000 0- 0

Answer 1

Solution:

(a)

28500 sirktians

from the table

28500=26700+1800

at 26700 0% tax

at 1800 27% tax

tax T=0.27*1800=486

The individual earning 28500 skirtianas owes 486 skirtians in taxes.

(b)

$T(x)=\begin{cases} 0 & \text{ if } x\leq 26700 \\ 0.27x& \text{ if } x>26700 \end{cases}$

(c)

The graph of T(x) is B

-5000 4000- 3000- 2000- 1000 (26700.0) 1 10000 20000 30000 40000 --1000