Concept explainers
a.
Use a graphing utility to create a
a.
Answer to Problem 25PS
Explanation of Solution
Given information:
Use a graphing utility to create a scatter plot of the data.
Calculation:
Consider the following data ,
Now draw the scatter plot,
Hence, the scatter plot is drawn.
b.
Verify that the data could best be modelled by a linear model, an exponential model, or a logarithmic model,
b.
Answer to Problem 25PS
Explanation of Solution
Given information:
Decide whether the data could best be modelled by a linear model, an exponential model, or a logarithmic model,
Calculation:
Consider the following data ,
The best model for this data is linear model.
Hence, the best model is
c.
Explain the model is an exponential model.
c.
Answer to Problem 25PS
Points are decresing linearly.
Explanation of Solution
Given information:
Explain why you chose the model an exponential model.
Calculation:
Consider the following data ,
The best model for this data is linear model.
It is observed from the graph that points are decreasing linearly, thus linear model is best suited .
Hence, we choose linear model.
d.
To find the model is an exponential model for the data and graph the model with the scatter plot.
d.
Answer to Problem 25PS
Explanation of Solution
Given information:
Use the regression feature of the graphing utility to find the model is an exponential model for the data and graph the model with the scatter plot.
Calculation:
Consider the following data ,
By using the value of
Hence the required model is ,
Now scatter plot for this model,
Hence, the required model is
e.
Determine the model you chose fits the data.
e.
Answer to Problem 25PS
Model fits the data.
Explanation of Solution
Given information:
Determine how well the model you chose fits the data.
Calculation:
Consider the required model is ,
Now scatter plot for this model,
The graph shows model fits the data,
Hence, the model fits the data.
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