Concept explainers
Smartphones From 2007 to 2014, there was a dramatic increase in smartphone sales The number of smartphones (in millions) sold to end users from 2007 to 2014 (see figure) is modeled by the function c(t) = 114.9e0.345t, where t represents the number of years after 2007.
a. Determine the average growth rate in smartphone sales between the years 2007 and 2009 and between 2012 and 2014. During which of these two time intervals was the growth rate greater?
b. Find the Instantaneous growth rate in smartphone sales at t = 1 (2008) and t = 6 (2013)? At which of these times was the instantaneous growth rate greater’
c. Use a graphing utility to graph the growth rate, for 0 ≤ t ≤ 7. What does the graph tell you about growth of smartphone sales to end users from 2007 to 2014?
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Calculus: Early Transcendentals (3rd Edition)
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