1) Below is some data on the population of a town from 2000 to 2012 Year (t) Population in thousands P(t) 2004 2006| 2008 | 2010 | 2012 | 2014 52.56 55.26 58.09 61.07 | 64.20 67.49 2000 2002 50 ?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 27SE: Table 4 gives the population of a town (in thousand) from 2000 to 2008. What was the average rate of...
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1) Below is some data on the population of a town from 2000 to 2012
Year (t)
2000 2002
2004
2006
2008
2010
2012
2014
Population in thousands P(t)
50
52.56 55.26 58.09 | 61.07 64.20 67.49
?
A. Use this data to get your best estimate for the instantaneous rate of change of the population in the
indicated year.
Be sure to include units.
i) P'(2001) =
ii) P'(2005) =
iii) P'(2009) =
iv) P' (2008) =
B. Did you use a different approach in answering question iv) than the previous three? If not, why not?
C. What is your best estimate for the size of this population in the year 2014?
Transcribed Image Text:1) Below is some data on the population of a town from 2000 to 2012 Year (t) 2000 2002 2004 2006 2008 2010 2012 2014 Population in thousands P(t) 50 52.56 55.26 58.09 | 61.07 64.20 67.49 ? A. Use this data to get your best estimate for the instantaneous rate of change of the population in the indicated year. Be sure to include units. i) P'(2001) = ii) P'(2005) = iii) P'(2009) = iv) P' (2008) = B. Did you use a different approach in answering question iv) than the previous three? If not, why not? C. What is your best estimate for the size of this population in the year 2014?
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