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 2004 2005 2006 2007 2008 8567 10,244 12,441 15,011 16,683 (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 secant line through (2005, 10244) and (2007, 15011). locations/year (d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the secant line through (2006, 12441) and (2008, 16683). locations/year Compare the growth rates you obtained in part (c) and (d). What can you conclude? O The rate of growth is decreasing. There is not enough information. O The rate of growth is constant. O The rate of growth is increasing.

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 2004 2005 2006 2007 2008 8567 10,244 12,441 15,011 16,683 (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 secant line through (2005, 10244) and (2007, 15011). locations/year (d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the secant line through (2006, 12441) and (2008, 16683). locations/year Compare the growth rates you obtained in part (c) and (d). What can you conclude? O The rate of growth is decreasing. There is not enough information. O The rate of growth is constant. O The rate of growth is increasing.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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