Question

The U.S. 2010 federal income tax for a single person with taxable income x dollars is f(x) dollars, where T is the function defined by federal law as follows. A. What is the the 2010 federal income tax for a single person whose taxable income that year was 4000 dollars? Tax = ________ dollars B. What is the 2010 federal income tax for a single person whose taxable income that year was 170000 dollars? Tax = ________ dollars C. What is the taxable income for a single person whose 2010 federal income tax was 105000 dollars? Taxable income = _______ dollars

Answer 1

Part A

What is the 2010 federal income tax for a single person whose taxable income that year was 4000 dollars?

The function is

T(x)=0.1x

so

For x=4,000

substitute

T(x)=0.1*(4,000)

T(x)=$400

Part B

What is the 2010 federal income tax for a single person whose taxable income that year was 170000 dollars?

the function is

T(x)=0.28x-6,290.75

For x=170,000

substitute

T(x)=0.28*(170,000)-6,290.75

T(x)=$41,309.25

Part C

What is the taxable income for a single person whose 2010 federal income tax was 105000 dollars?

The function is

T(x)=0.28x-6,290.75

For T(x)=105,000

substitute

105,000=0.28x-6,290.75

solve for x

0.28x=105,000+6,290.75

0.28x=111,290.75

x=$397,466.96