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 timeis measured in months since February 2009, when the Kindle was launched.TimePrice$349$299$249$199051015(a) By calculating differences, show that these data can be modeled using a linear function.X dollars every 5 months.A table of differences shows a common difference of(b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months sinceFebruary 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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Asked Oct 6, 2019
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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
$349
$299
$249
$199
0
5
10
15
(a) By calculating differences, show that these data can be modeled using a linear function.
X dollars every 5 months.
A table of differences shows a common difference of
(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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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 $349 $299 $249 $199 0 5 10 15 (a) By calculating differences, show that these data can be modeled using a linear function. X dollars every 5 months. A table of differences shows a common difference of (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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Expert Answer

Step 1

Now from the given table we have

          $349 - $ 299 = $50

          $299 - $ 249 = $50

          $249 - $ 199 = $50

Since, the difference is constant after every interval of 5 months.

So, it can be modelled by the linear function.

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Price Time $349 $299 0 10 $249 $199 15 O5

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Step 2

Part b

Let t be the time in months since February 20...

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Let linear function be k = mt + b. When t 0 then k = 349 349 = m(0)+b b 349 Again, when t 5 then k = 299 : 299 — т(5) + 349 5m 50 т %3D —10 So, k 10t +349

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