(a)
To find: the implied domain of this linear function.
(a)
Answer to Problem 42AYU
The domain of the linear function is
Explanation of Solution
Given:
Calculation:
The function
So, the domain of the linear function is
Conclusion:
Therefore, the domain of the linear function is
(b)
To find: the luxury tax for the New York Yankees whose 2006 payroll was $171.1 million.
(b)
Answer to Problem 42AYU
The luxury tax for a team whose payroll is $160 million is $7.2 million.
Explanation of Solution
Calculation:
Substitute 160 for p in the given function.
Evaluate.
Conclusion:
Therefore, the luxury tax for a team whose payroll is $160 million is $7.2 million.
(c)
To Graph: the linear function.
(c)
Answer to Problem 42AYU
The linear function was drawn.
Explanation of Solution
Calculation:
In order to graph the function, find some points to be plotted on the graph. By using the result from part (b), one point on the graph as
Take
So, one point on the graph will be
Now, to find one more point, substitute 200 for pin the function.
Thus, an additional point is
Plot the points on a coordinate plane, and join them using a straight line.
Conclusion:
Therefore, the linear function was drawn.
(d)
To find: the payroll of a team that pays a luxury tax of $11.7 million.
(d)
Answer to Problem 42AYU
The payroll of a team that pays a luxury tax of $11.7 million is$180 million.
Explanation of Solution
Calculation:
The objective is to find the value of p when
Divide both the sides by 0.225.
Now, add 128 to both the sides.
Conclusion:
Therefore, the payroll of a team that pays a luxury tax of $11.7 million is$180 million.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
Precalculus
Precalculus Enhanced with Graphing Utilities (7th Edition)
Glencoe Math Accelerated, Student Edition
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