Now consider another hypothetical tax code. Assume the tax rate on the first $15,000 of taxable income is 10% and the tax rate on any additional income is 18%. The standard deduction ($6,350) and personal exemption ($4,050) still apply. In other words:

For taxable income from $0 to $15,000, you pay 10% of your taxable income in taxes, plus

For taxable income above $15,000, you pay 18% of your taxable income.

1. If your total income before exemptions were $10,000 how much would you pay in taxes?

2. If your total income were $20,000 how much would you pay in taxes?

3. If your total income were $50,000 how much would you pay in taxes?

4. Write a function to model the total tax paid, T(x), with a total income of x dollars.

5. Create a graph that shows taxes paid as a function of total income for the total income between $0 and $60,000.

6. How many different slopes are on this graph?

NOTE: For a Total Income of $80,000, an individual would pay $11,328 in taxes.

Thank you!