The following is a simplified version of the actual Arizona state tax tables, for married filing jointly taxable incomes. For 2017, a married filing jointly person whose taxable income is between $0-$19,999 is charged 2.59% in tax. A married filing jointly person whose taxable income in between $20,000-$49,999 is charged 2.59% of the first $19,999.99, and 2.88% of the amount over $19,999.99, etc. Note that these are referred to as "tax brackets". The actual brackets for the state of AZ in 2017 is given in the table below.

a) Create a table and come up with a simplified piecewise- linear function to represent the AZ state income tax for a married filing jointly taxpayer as a function of taxable income, but only for taxable incomes up to $49,999. (don't worry about people making $50,000 or more)

b) In 2017, how much tax does someone in AZ who is married filing jointly with a taxable income of $20,000 owe? Explain answer.

c) If someone paid $834.80 in tax in 2017, how much was their income? Explain answer.

IIISt $ 19,999.99, and 2.88 70 01 LIC red to as "tax brackets". The actual tax brackets for the state of AZ i Tax Bracket Tax Rate $0.00+ 2.59% $20,000.00+ 2.88% $50,000.00+ 3.36% $100,000.00+ 4.24% $300,000.00+ 4.54% write a simplified piecewise-linear function to represent the A7 state v taxpayer as a function of taxable income, but