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 ?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 16E
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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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