The number N of locations of a popular coffeehouse chain is

Last updated: 3/13/2024

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 N 8574 10 237 12 435 15 008 16 677 a Find the average rate of growth between each pair of years 2004 to 2006 2006 to 2007 locations year locations year locations year 2005 to 2006 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 10237 and 2007 15008 locations year d Estimate the instantaneous rate of growth in 2007 by measuring the slope of the secant line through 2006 12435 and 2008 16677 locations year Compare the growth rates you obtained in part c and d What can you conclude O The rate of growth is constant O The rate of growth is increasing O There is not enough information The rate