Concept explainers
a.
To create: a
a.
Explanation of Solution
Given information: The table shows the average sales S (in millions of dollars) of an
outerwear manufacture for each month t , where t = 1 represents January.
Month, t | Sales S |
1 | 6.73 |
2 | 5.58 |
3 | 4.00 |
4 | 2.43 |
5 | 1.27 |
6 | 0.85 |
7 | 1.27 |
8 | 2.43 |
9 | 4.00 |
10 | 5.58 |
11 | 6.73 |
12 | 7.15 |
Calculation:
The scatter plot of the given table data is shown below.
b.
To find: a trigonometric model that fits the data and graph the model on your scatter plot and how well does the model fit the data.
b.
Answer to Problem 71E
The model fits the data well.
Explanation of Solution
Calculation:
Using the trigonometric model calculator the trigonometric model of the given data table is:
The model fits the data well.
The graph of the above model is given below.
c.
To find: the period of the model and it is reasonable given the context, explain.
c.
Answer to Problem 71E
The period of 12 months is measurable because outer wear sales would be seasonal.
Explanation of Solution
Given information:
Calculation:
The period of 12 months is measurable because outer wear sales would be seasonal.
d.
To interpret: the meaning of the model’s amplitude in the context of the problem.
d.
Answer to Problem 71E
The amplitude is 3.15 and gives the maximum displacement or greater and least average sales from 4 + 3.15 = $ 7.15 billion to 4 - 3.15= $ 0.85 billion.
Explanation of Solution
Given information:
Calculation:
The amplitude is 3.15 and gives the maximum displacement or greater and least average sales from 4 + 3.15 = $ 7.15 billion to 4 - 3.15= $ 0.85 billion.
Chapter 4 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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