Functions defined on intervals
Income tax (II)


This task deals with the income tax structure of the United Kingdom (the data is for the years 2003-2004).

In the UK, each person is granted an allowance, a portion of income that is not taxed at all. The allowance depends on the person's age.

Allowances

basic allowance 4615 pounds
allowance for people aged 65-74 6610 pounds
allowance for people aged 75 and over 6720 pounds

The taxable income is obtained by deducting the allowance from the person's yearly income. Taxes are imposed on the taxable income according to the following schedule:

Tax rates


for each pound under 1920 10%
for each pound from 1921 to 28,899 22%
for each pound over 29,000 40%



Use the Income tax tool to present the UK tax structure for people of different ages.
  • Investigate the effective tax rate, that is, the actual percentage of one's income that a person pays in income tax. Use the Functions on intervals tool to display a function showing the effective tax rate as a function of income.




  • Piecewise linear functions

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    Income Tax (I)
    Income tax (II)