Concept explainers
a.
Find the linear model using given data.
a.
Answer to Problem 35E
The linear model is
Explanation of Solution
Given:
The computer costs
Calculation:
The linear model is
Slope
Now
Substitute value of
Hence the linear model is
b.
Find the exponential model using given data.
b.
Answer to Problem 35E
The exponential equation is
Explanation of Solution
Given:
The computer costs
Calculation:
Substitute the value of
Now
Substitute the value of
Take natural log on both sides.
Hence the exponential equation is
c.
Graph both models using a graphing utility and check that which model depreciates faster in the first two years.
c.
Answer to Problem 35E
The right answer is exponential model.
Explanation of Solution
Given:
The computer costs
Calculation:
The linear model is
The exponential equation is
The graph of both equations in the same window is given below.
The graph shows that the exponential model depreciates faster in the first two years.
Hence the right answer is exponential model.
d.
Find the book values of the computer after the given years using both models.
d.
Answer to Problem 35E
The values for linear model are
Explanation of Solution
Given:
The given years are one and three.
Calculation:
For linear model.
The linear model is
Substitute the value of
Substitute the value of
For exponential model
Substitute the value of
Substitute the value of
Hence the values for linear model are
e.
Show that the advantages and disadvantages of using each model for a buyer and a seller.
e.
Explanation of Solution
Given:
The computer costs
Calculation:
The linear model is
The exponential equation is
The graph of both equations in the same window is given below.
The graph shows that the exponential model depreciates faster in the first two years.
For a buyer
For a seller
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