The number N of locations of a popular coffeehouse chain is given in the table. (The numbers

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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.)

2010 Year 2006 2004 2012 2008 16,680| 16,858 18,066 8569 12,440


(a) Find the average rate of growth

(i) from 2006 to 2008

(ii) from 2008 to 2010

n each case, include the units. What can you conclude?

(b) Estimate the instantaneous rate of growth in 2010 by taking the average of two average rates of change. What are its units?

(c) Estimate the instantaneous rate of growth in 2010 by measuring the slope of a tangent.

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