Estimate the instantaneous rate of growth (in locations/year) in 2014 by measuring the slope of a tangent. (Round your answer to the nearest integer.)

Question

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
2008	16,680
2010	16,858
2012	18,066
2014	21,366
2016	25,085

Estimate the instantaneous rate of growth (in locations/year) in 2014 by measuring the slope of a tangent. (Round your answer to the nearest integer.)

Thank you.

Answer 1

Assuming the tangent at point 2014 would be parallel to the secant passingthrough the points 2012 and 2016,

the slope is rise/run = (25085 - 18066)/(2016 - 2012)