• 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.

If your total income before exemptions were $10,000, you would fall into the first tax bracket. Therefore, you would pay 10$10,000 = $1,000.

If your total income were $20,000, the first$15,000 would be taxed at 10% and the remaining $5,000 would be taxed at 18$15,000) + (18/100 * $5,000) =$1,500 + $900 =$2,400.

If your total income were $50,000, the first$15,000 would be taxed at 10% and the remaining $35,000 would be taxed at 18$15,000) + (18/100 * $35,000) =$1,500 + $6,300 =$7,800.

The function to model the total tax paid, T(x), with a total income of x dollars would be:

T(x) = 0.10x for 0 <= x <= 15,000 T(x) = 0.1015,000 + 0.18(x - 15,000) for x > 15,000

To create a graph that shows taxes paid as a function of total income for the total income between $0 and$60,000, you would plot the function T(x) on the y-axis and the total income on the x-axis. The graph would show a linear increase from $0 to$15,000, then a steeper linear increase from $15,000 to$60,000.