The number N of locations of a popular coffeehouse chain is given in the table. (The numbers of locations as of October 1 are given.) Year 2004 2005 2006 2007 2008 N 8568 10,245 12,445 15,013 16,677 (a) Find the average rate of growth between each pair of years. 2004 to 2006 locationsfyear 2006 to 2007 locationsfyear 2005 to 2006 locationsfyear (b) Estimate the instantaneous rate of growth in 2006 by taking the average of the last two rates of change in part (a). (c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the secant line through [2005, 10245} and (2007, 15013}. (d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the secant line through (2006r 12445] and [2008, 16677). Compare the growth rates you obtained in part (c) and [d]. What can you conclude? Q There is no enough information. O The rate of growth is constant. 0 The rate of growth is decreasing. O The rate of growth is increasing