The following table shows the price of Amazon's Kindle 2 e-book reader. It is adapted from data available on the web.t Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 $349 $299 $249 $199 5 10 15 (a) By calculating differences, show that these data can be modeled using a linear function. A table of differences shows a common difference of X 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.) -10t +349 K = (c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Mote: The web data were the basis for speculation that some day the Kindle will be free. dollar(s) -21
The following table shows the price of Amazon's Kindle 2 e-book reader. It is adapted from data available on the web.t Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 $349 $299 $249 $199 5 10 15 (a) By calculating differences, show that these data can be modeled using a linear function. A table of differences shows a common difference of X 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.) -10t +349 K = (c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Mote: The web data were the basis for speculation that some day the Kindle will be free. dollar(s) -21
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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Transcribed Image Text:The following table shows the price of Amazon's Kindle 2 e-book reader. It is adapted from data available on the web.t Here time
is measured in months since February 2009, when the Kindle was launched.
Time
Price
0
$349
$299
$249
$199
5
10
15
(a) By calculating differences, show that these data can be modeled using a linear function.
A table of differences shows a common difference of
X 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.)
-10t +349
K =
(c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Mote:
The web data were the basis for speculation that some day the Kindle will be free.
dollar(s)
-21
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