The following table shows the price of Amazon's Kindle 2 e-book reader. It is adapted from data available on the web.† Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 $349 5 $299 10 $249 15 $199 (a) By calculating differences, show that these data can be modeled using a linear function. A table of differences shows a common difference of dollars every 5 months. (b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months since February 2009, and let K be the price in dollars.) K = (c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Note: The web data were the basis for speculation that some day the Kindle will be free. dollar(s)
The following table shows the price of Amazon's Kindle 2 e-book reader. It is adapted from data available on the web.† Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 $349 5 $299 10 $249 15 $199 (a) By calculating differences, show that these data can be modeled using a linear function. A table of differences shows a common difference of dollars every 5 months. (b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months since February 2009, and let K be the price in dollars.) K = (c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Note: The web data were the basis for speculation that some day the Kindle will be free. dollar(s)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 16E: High School Graduates The following table shows the number, in millions, graduating from high school...
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Question
The following table shows the price of Amazon's Kindle 2 e-book reader. It is adapted from data available on the web.† Here time is measured in months since February 2009, when the Kindle was launched.
| Time | Price |
|---|---|
| 0 | $349 |
| 5 | $299 |
| 10 | $249 |
| 15 | $199 |
(a) By calculating differences, show that these data can be modeled using a linear function.
(b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months since February 2009, and let K be the price in dollars.)
(c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Note: The web data were the basis for speculation that some day the Kindle will be free.
dollar(s)
A table of differences shows a common difference of dollars every 5 months.
(b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months since February 2009, and let K be the price in dollars.)
K =
(c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Note: The web data were the basis for speculation that some day the Kindle will be free.
dollar(s)
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