Question

# The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006. Year 2000 2

Exponential models

The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006. Year 2000 2001 2002 2003 2004 2005 2006 R1 52.5 65.3 76.5 87.6 102.1 113.51 25.5
(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.
(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is $$\displaystyle{R}{2}={6}+{13}+{13},{9}^{{0.14}}{t}$$. What is the difference in total service revenues between the two models for the years 2010 through 2015?

a) $$\displaystyle{y}-{13.29}{\left({1.154}\right)}^{{x}}$$
b) take the integral of $$\displaystyle{\left({13.29}{\left({1.154}\right)}^{{{x}}}-{6}-{13.9}{e}^{{{.14}{x}}}\right.}$$ from 20 to 25. Result: 18.427