a.
To find: the type of function depicted by the tax rates.
a.
Answer to Problem 29E
Explanation of Solution
Given information:
The table of values given is as follows:
Income | Tax Bracket |
Up to $10,000 | 5% |
More than $10,000 but no more than $30,000 | 7.5% |
More than $30,000 | 9.3% |
Calculation:
Since the table shows different non-linear rates, the function of taxes due to income should be a piecewise function.
Thus, the type of function for the given situation is piecewise function.
b.
To find: the function for given condition.
b.
Answer to Problem 29E
Explanation of Solution
Given information:
The table of values given is as follows:
Income | Tax Bracket |
Up to $10,000 | 5% |
More than $10,000 but no more than $30,000 | 7.5% |
More than $30,000 | 9.3% |
Let
Calculation:
Since the table shows different non-linear rates, the function of tax due to income should be a piecewise function.
So, the three parts of piecewise function will be as follows:
c.
To graph: the tax brackets for different taxable incomes
c.
Answer to Problem 29E
Explanation of Solution
Given information:
The table of values given is as follows:
Income | Tax Bracket |
Up to $10,000 | 5% |
More than $10,000 but no more than $30,000 | 7.5% |
More than $30,000 | 9.3% |
Here,
Calculation:
The graph for the above function is as follows:
d.
To find: tax bracket of Ms Davis if she made $36,000 last year.
d.
Answer to Problem 29E
Highest tax bracket
Explanation of Solution
Given information:
The table of values given is as follows:
Income | Tax Bracket |
Up to $10,000 | 5% |
More than $10,000 but no more than $30,000 | 7.5% |
More than $30,000 | 9.3% |
Here,
Calculation:
For
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Precalculus
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