Vear 2008 16,680 2010 16,858 2012 18,066 2014 21,366 2016 25,085 ind the average rate of growth (in locations/year) between each pair of years. 012 to 2014 | locations/year 014 to 2016 locations/year

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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The number N of locations of a popular coffeehouse chain is given in the table. (The numbers of locations as October 1 are given.)
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
(a) Find the average rate of growth (in locations/year) between each pair of years.
2012 to 2014
locations/year
2014 to 2016
locations/year
What can you conclude?
The rate of change was greater between the years
Select-
v).
(b) Estimate the instantaneous rate of growth (in locations/year) in 2014 by taking the average of two average rates of change.
locations/year
(c)
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. )
locations/year
Transcribed Image Text: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 (a) Find the average rate of growth (in locations/year) between each pair of years. 2012 to 2014 locations/year 2014 to 2016 locations/year What can you conclude? The rate of change was greater between the years Select- v). (b) Estimate the instantaneous rate of growth (in locations/year) in 2014 by taking the average of two average rates of change. locations/year (c) 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. ) locations/year
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