Concept explainers
(a)
To write: the linear model that expresses the book value V of the machine as a function of its age x .
(a)
Answer to Problem 46AYU
The linear function that represents the book value is
Explanation of Solution
Given:
Calculation:
Let
It is given that the value of the machine gets depreciated over 10 years. So, the value is depreciated by
Thus, the linear function that represents the book value is
Conclusion:
Therefore, the linear function that represents the book value is
(b)
To graph: the linear function
(b)
Answer to Problem 46AYU
An additional point is
Explanation of Solution
Calculation:
In part (a), the equation
Now, in order to plot the graph, take the y -intercept
Plot the points on a coordinate a plane, and join them using a straight line.
Conclusion:
Therefore, an additional point is
(c)
To find: the book value of the machine after 4 years
(c)
Answer to Problem 46AYU
The book value of the machine after 4 years will be $72,000.
Explanation of Solution
Calculation:
Substitute 4 for x in
V(4) = -12000(4) + 120,000
Evaluate
Thus, the book value of the machine after 4 years will be $72,000.
Conclusion:
Therefore, the book value of the machine after 4 years will be $72,000.
(d)
To discuss: the machine have a book value of $72000
(d)
Answer to Problem 46AYU
The machine will have a book value of $72000 after 4 years.
Explanation of Solution
Calculation:
Write the answer directly by using the result from part (c).
The machine will have a book value of $72000 after 4 years.
Conclusion:
Therefore, the machine will have a book value of $72000 after 4 years.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus & Its Applications (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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