1200 The population P(t) of a herd of deer on an island can be modeled by P(f) where t represents the 1 + 2e e-0.12r number of years since the park service has been tracking the herd. a. Evaluate P(0) and interpret its meaning in the context of this problem. b. Use the function to predict the deer population after 4 yr. Round to the nearest whole unit. c. Use the function to predict the deer population after 8 yr. d. Determine the number of years required for the deer population to reach 900. Round to the nearest year. 2 approach as t → o. e0.12t e. What value will the term f. Determine the limiting value of P(t).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 10T: The initialsize of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. (a) Find...
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1200
The population P(t) of a herd of deer on an island can be modeled by P(f)
where t represents the
1 + 2e
e-0.12r
number of years since the park service has been tracking the herd.
a. Evaluate P(0) and interpret its meaning in the context of this problem.
b. Use the function to predict the deer population after 4 yr. Round to the nearest whole unit.
c. Use the function to predict the deer population after 8 yr.
d. Determine the number of years required for the deer population to reach 900. Round to the nearest year.
2
approach as t → o.
e0.12t
e. What value will the term
f. Determine the limiting value of P(t).
Transcribed Image Text:1200 The population P(t) of a herd of deer on an island can be modeled by P(f) where t represents the 1 + 2e e-0.12r number of years since the park service has been tracking the herd. a. Evaluate P(0) and interpret its meaning in the context of this problem. b. Use the function to predict the deer population after 4 yr. Round to the nearest whole unit. c. Use the function to predict the deer population after 8 yr. d. Determine the number of years required for the deer population to reach 900. Round to the nearest year. 2 approach as t → o. e0.12t e. What value will the term f. Determine the limiting value of P(t).
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