Concept explainers
(a)
To graph: The
(a)
Answer to Problem 60E
The model fits to the given set of data as all the points lies on the graph of model.
Explanation of Solution
Given information:
The table shows the mean annual salaries
Year | Salary, |
A model for the data is given by
Calculation:
To graph the points on scatter plot, follow the steps using graphing calculator.
First press the
Go to
Now go to
Now, press the
Figure (1)
The model fits to the given set of data as all the points lies on the graph of model.
(b)
To find: The mean salaries in
(b)
Answer to Problem 60E
The number of ready reserves in
Explanation of Solution
Given information:
The table shows the mean annual salaries
Year | Salary, |
A model for the data is given by
Calculation:
As
Substitute
Further simplify,
So, the mean salaries in
Substitute
Further simplify,
So, the mean salaries in
Therefore, the mean salaries in
(c)
To find: The limit of the model as
(c)
Answer to Problem 60E
The limit of the model as
Explanation of Solution
Given information:
The table shows the mean annual salaries
Year | Salary, |
A model for the data is given by
Calculation:
Simplify the limit.
Further simplify,
Therefore, the limit of the model as
(d)
To check: Whether the given model is best fit for the prediction of mean annual salaries in future years.
(d)
Answer to Problem 60E
No, this is not the best model for the calculation of mean annual salaries in future years as the mean salaries becomes zero at
Explanation of Solution
Given information:
The table shows the mean annual salaries
Year | Salary, |
A model for the data is given by
Calculation:
As observed from the graph of the model in part(a), the mean salaries at
This is not possible in real life.
Therefore, this model is not the best fit for the calculation of mean annual salaries in future years.
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- 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