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Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
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Use of Cellular Telephones The following table shows the

Chapter 1, Problem 62A

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QUESTION:

Problem 62A

Use of Cellular Telephones The following table shows the subscribership of cellular telephones in the United States (in millions) for even-numbered years between 2000 and 2008. Source: Time Almanac 2010.

Year

2000

2002

2004

2006

2008

Subscribers (in millions)

109.48

140.77

182.14

233.04

270.33

a. Plot the data by letting t = 0 correspond to 2000. Discuss how well the data fit a straight line.

b. Determine a linear equation that approximates the number of subscribers using the points (0, 109.48) and (8, 270.33).

c. Repeat part b using the points (2, 140.77) and (8, 270.33).

d. Discuss why your answers to parts b and c are similar but not identical.

e. Using your equations from parts b and c, approximate the number of cellular phone subscribers in the year 2007. Compare your result with the actual value of 255.40 million.

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QUESTION:

Problem 62A

Use of Cellular Telephones The following table shows the subscribership of cellular telephones in the United States (in millions) for even-numbered years between 2000 and 2008. Source: Time Almanac 2010.

Year

2000

2002

2004

2006

2008

Subscribers (in millions)

109.48

140.77

182.14

233.04

270.33

a. Plot the data by letting t = 0 correspond to 2000. Discuss how well the data fit a straight line.

b. Determine a linear equation that approximates the number of subscribers using the points (0, 109.48) and (8, 270.33).

c. Repeat part b using the points (2, 140.77) and (8, 270.33).

d. Discuss why your answers to parts b and c are similar but not identical.

e. Using your equations from parts b and c, approximate the number of cellular phone subscribers in the year 2007. Compare your result with the actual value of 255.40 million.

ANSWER:

Solution

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In this problem, from the given data in the table we need to solve the given conditions.

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