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Concept explainers
(a)
To find: thedomain of this linear function
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 41AYU
The domain of given function
Explanation of Solution
Given:
Calculation:
Let us consider the values of x falls between $8350 and $33950 and domain of a function is the set of all values of x given.
So the domain of given function
Where
Conclusion:
Therefore, the domain of given function
(b)
To find: the single filer’s tax bill if adjusted gross income is $20000.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 41AYU
So single filer's tax bill
Explanation of Solution
Calculation:
Here adjusted gross income
So Single tax bill
So single filer's tax bill
Conclusion:
Therefore, the single filer's tax bill
(c)
To describe: which variable is independent and which is dependent.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 41AYU
Variable x , adjusted gross income, is independent variable andTax bill T is the dependent variable.
Explanation of Solution
Calculation:
Assume any value of variable x here from the given interval between 8350 and 33950 that is why variable x , adjusted gross income, is independent variable here for the given function.
Furthermore as the values of T would be calculated by using the given function. It is clear that the values of T is totally depends on the values of x , to be put in the function.
So here Tax bill T is the dependent variable.
Conclusion:
Therefore, variable x , adjusted gross income, is independent variable andTax bill T is the dependent variable.
(d)
To graph: the linear function over the domain specified in part (a).
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 41AYU
The graph of given linear function are
Explanation of Solution
Calculation:
Now when
And when
So two corresponding coordinates of form
Conclusion:
Therefore, the graph of given linear function are
(e)
To find: the single filer’s adjusted gross income if the tax bill is $3707.50.
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 41AYU
The required single filer's adjusted gross income =$27,500.
Explanation of Solution
Calculation:
Now tax bill
So on plug in this value of T in given function,
Now on dividing both sides by 0.15,
So the required single filer's adjusted gross income =$27,500
Conclusion:
Therefore, the required single filer's adjusted gross income =$27,500.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
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