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 is 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 tax brackets for the state of AZ in 2017 is given in the table below.

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%

(a) Create a table and write 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)