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?

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?

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

Chapter5: A Survey Of Other Common Functions

Section5.1: Logistic Functions

Problem 16E: Cable TV The following table shows the number C. in millions, of basic subscribers to cable TV in...

See similar textbooks

Similar questions

Cable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States. Year 1975 1980 1985 1990 1995 2000 C 9.8 17.5 35.4 50.5 60.6 60.6 a. Use regression to find a logistic model for these data. b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors? c. The estimated number of subscribers in 2005 was 65.3million. What light does this shed on the model you found in part a?
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?