The graph shows the deer population in a Pennsylvania county between 2003 and 2007. Assume that the population grows exponentially. (Assume 2003 is t = 0.) Deer population 40 000 (4, 41000 30 000 20 000 10 000 Years 2 4 5 since 2003 (a) What was the deer population in 2003? 30000 (b) Find an exponential growth model n(t) = Ca' for the population t years since 2003. (Round your terms to two decimal places.)

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ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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The graph shows the deer population in a Pennsylvania county between 2003 and 2007. Assume that the population grows exponentially. (Assume 2003 is t = 0.)
Deer
population
40 000
(4, 41000
30 000
20 000
10 000
Years
1
2
3
4
5 since 2003
(a) What was the deer population in 2003?
30000
(b) Find an exponential growth model n(t)
Ca' for the population t years since 2003. (Round your terms to two decimal places.)
41
n(t) = 30000·
30
What is the growth rate? (Round your answer to the nearest whole number.)
%
(c) Use the model to find the percentage rate of change from 2005 to 2006. (Round your answer to the nearest whole number.)
%
Compare your answer to the growth rate from part (b).
It is higher than the growth rate in part (b).
It is lower than the growth rate in part (b).
It is about the same growth rate in part (b).
Transcribed Image Text:The graph shows the deer population in a Pennsylvania county between 2003 and 2007. Assume that the population grows exponentially. (Assume 2003 is t = 0.) Deer population 40 000 (4, 41000 30 000 20 000 10 000 Years 1 2 3 4 5 since 2003 (a) What was the deer population in 2003? 30000 (b) Find an exponential growth model n(t) Ca' for the population t years since 2003. (Round your terms to two decimal places.) 41 n(t) = 30000· 30 What is the growth rate? (Round your answer to the nearest whole number.) % (c) Use the model to find the percentage rate of change from 2005 to 2006. (Round your answer to the nearest whole number.) % Compare your answer to the growth rate from part (b). It is higher than the growth rate in part (b). It is lower than the growth rate in part (b). It is about the same growth rate in part (b).
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