Concept explainers
a.
To graph: the function
a.
Answer to Problem 30RE
Explanation of Solution
Use any graphing utility to graph the function
b.
To find: the value of the car 2 years after it was purchased..
b.
Answer to Problem 30RE
Explanation of Solution
Given:
The value of car t years after purchase is given by the function
Calculation: Substitute
c.
To find: when does the car depreciate most rapidly.
c.
Answer to Problem 30RE
Beginning years
Explanation of Solution
Observe the graph of the function
From the graph it can be observed that the value of car depreciates most rapidly during the beginning years.
Yes, it is realistic as the value of car depreciates most rapidly during the first year and then slowly the depreciation rates level out.
d.
To find: when will the car have no value.
d.
Answer to Problem 30RE
Never
Explanation of Solution
It is not possible for a car to have no value as at least it will always have the scrap value.
But the value of value of car will start approaching to zero after 16 years as can be observed from the graph below:
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning