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Mathematical and Technological Literacy I |
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Mathematical and Technological Literacy I |
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1. Illinois income tax is calculated based on a flat rate scale. Based on the Illinois Department of Revenue 2004 From IL-1040, listed below are tax amounts owed based on total income for a person filing individually.
2004 Illinois Income Tax (Filing Individually) |
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| Total Income ($) | Tax ($) |
| 2,000 | 0 |
| 10,000 | 240 |
| 30,000 | 840 |
| 60,000 | 1,740 |
a. Explain why the above data represents a linear relationship.
b. What are the two variables in this function? Assign each variable a letter. Find a linear model to represent the above data.
c. What is the rate of change for this relationship? Therefore, what percent of your taxable income do you pay for Illinois state tax?
d. What is the exemption amount? (This is the amount of income that a person does not have to pay taxes on. It is also the "x-intercept" amount.)
e. How much tax to you pay if you earned less than $2,000 in 2004?
f. If you earned $80,000 in 2004, how much Illinois State Tax would you pay?
g. If you owed $2,040 in Illinois State Tax, how much did you earn in 2004?
DePaul's Quantitative Reasoning
Center
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