(a)
To create a table showing the values of
(a)
Answer to Problem 80E
The model fits the data well.
Explanation of Solution
Given information:
The given data is approximated by the three mathematical models, where t represents the year, with corresponding to 2006
Calculation:
The values of
For the year 2006 (
For the year 2007 (
For the year 2008 (
For the year 2009(
Similarly the values of
Year | | | |
2006 | 279.24 | 1540.2 | 180.16 |
2007 | 284.61 | 1610.75 | 185.16 |
2008 | 290.36 | 1686.4 | 190.84 |
2009 | 296.49 | 1767.15 | 197.11 |
2010 | 303 | 1853 | 204 |
2011 | 309.89 | 1943.95 | 199.11 |
2012 | 317.16 | 2040 | 219.64 |
2013 | 324.81 | 2141.15 | 228.39 |
2014 | 332.84 | 2247.4 | 237.76 |
2015 | 341.25 | 2358.75 | 247.75 |
2016 | 350.04 | 2475.2 | 258.36 |
The given mathematical model is a good fit because they predict the actual data points almost accurately.
(b)
To graph
(b)
Answer to Problem 80E
The function
Explanation of Solution
Given information:
Year | | | | |
2006 | 273 | 1517 | 179 | 1969 |
2007 | 290 | 1609 | 192 | 2091 |
2008 | 295 | 1696 | 188 | 4270 |
2009 | 294 | 1796 | 192 | 2282 |
2010 | 300 | 1877 | 204 | 2381 |
2011 | 310 | 1950 | 205 | 2465 |
2012 | 318 | 2023 | 225 | 2566 |
2013 | 325 | 2088 | 235 | 2648 |
2014 | 330 | 2228 | 239 | 2797 |
2015 | 339 | 2383 | 243 | 2965 |
2016 | 353 | 2487 | 258 | 3098 |
Graph:
The graph of
Interpretation: The function
Chapter 1 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