Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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9. Cell Phones The following table shows the num-
ber, in millions, of cell phone subscribers in the
United States at the end of the given year.
Year
Subscribers (millions)
2010
296.3
2011
316.0
2012
326.5
2013
335.6
2014
355.4
a. Plot the data points.
b. Use exponential regression to construct an expo-
nential model for the subscriber data.
c. Add the graph of the exponential model to the
plot in part a.
d. What was the yearly percentage growth rate
from the end of 2010 through the end of 2014 for
cell phone subscribership?
e. In 2014, an executive had a plan that could make
money for the company, provided that there would
be at least 380 million cell phone subscribers by
the end of 2016. Solely on the basis of an exponen-
tial model for the data in the table, would it be rea-
sonable for the executive to implement the plan?
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Transcribed Image Text:9. Cell Phones The following table shows the num- ber, in millions, of cell phone subscribers in the United States at the end of the given year. Year Subscribers (millions) 2010 296.3 2011 316.0 2012 326.5 2013 335.6 2014 355.4 a. Plot the data points. b. Use exponential regression to construct an expo- nential model for the subscriber data. c. Add the graph of the exponential model to the plot in part a. d. What was the yearly percentage growth rate from the end of 2010 through the end of 2014 for cell phone subscribership? e. In 2014, an executive had a plan that could make money for the company, provided that there would be at least 380 million cell phone subscribers by the end of 2016. Solely on the basis of an exponen- tial model for the data in the table, would it be rea- sonable for the executive to implement the plan?
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