# (The numbers of locations as of October 1 are given.)

Anonymous

Question description

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 N 2004 2005 2006 2007 2008 8575 10,244 12,443 15,007 16,678

(a) Find the average rate of growth between each pair of years.

 2004 to 2006 locations/year 2006 to 2007 locations/year 2005 to 2006 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 tangent line through
(2005, 10244) and (2007, 15007).

locations/year

(d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the tangent line through

(2006, 12443) and (2008, 16678). location/year

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