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The figure shows actual and predicted figures for the percentage of residential Internet access that is through narrowband (dial-up) access only. R(t) percent 90 70

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The figure shows actual and predicted figures for the percentage of residential Internet access that is through narrowband (dial-up) access only. R(t) percent 90 70 10 + year : 2002 2006 2010 2014 (a) Describe the behavior suggested by the scatter plot that indicates a logistic model might be appropriate for the data. The scatter plot appears to be --Select-- toward a horizontal asymptote at y = . The context indicates that there should be another horizontal asymptote at y =[ (b) The table reports the data illustrated in the figure above. Find the function of the logistic model that gives the percentage of residential Internet access through narrowband only, where t is the number of years since 2000, with data from 0 s t $14. (Round all numerical values to three decimal places.) R(t) = Narrowband Residental Internet Access as a Percentage of Total Residential Internet and Access Narrowband Year Narrowband (percent) Year (percent) 2000 89.4 2008 9.6 2001 80.7 2009 7.3 2002 70.9 2010 4.3 2003 58.3 201 3.0 2004 45.9 2012 2.5 2005 35.3 2013 1.5 2006 21.5 2014 1.0 2007 12.2 (c) Write equations for the two horizontal asymptotes. (Round your answers to three decimal places.) y = (smaller value) (larger value)

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