the number n 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 8570 10236 13083 15015 16680 (a) find the average rate of growth between each pair of years. 2004 to 2006 1936 locations/year 2006 to 2007 1932 locations/year 2005 to 2007 2389.5 locations/year (b) estimate the instantaneous rate of growth in 2006 by taking the average of the last two rates of change in part (a). locations/year (c) estimate the instantaneous rate of growth in 2006 by measuring the slope of the secant line through ( 2005 , 10236 ) (2005,10236) and ( 2007 , 15015 ) (2007,15015) .