The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land.1 The proportion, P, of land in use for farming t years after 1935 is modeled with the logistic function P = 1+3e-0.0275r (a) What proportion of the land was in use for farming in 1935? Enter an exact answer. 25 % of the land was in use in 1935. (b) What is the long-run prediction for this model? Enter an exact answer. In the long-run, P approaches i (c) When was half the land in use for farming? Round your answer to the nearest year.
The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land.1 The proportion, P, of land in use for farming t years after 1935 is modeled with the logistic function P = 1+3e-0.0275r (a) What proportion of the land was in use for farming in 1935? Enter an exact answer. 25 % of the land was in use in 1935. (b) What is the long-run prediction for this model? Enter an exact answer. In the long-run, P approaches i (c) When was half the land in use for farming? Round your answer to the nearest year.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 34E
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Transcribed Image Text:25
% of the land was in use in 1935.
(b) What is the long-run prediction for this model?
Enter an exact answer.
In the long-run, P approaches i
(c) When was half the land in use for farming?
Round your answer to the nearest year.
Half the land was in use for farming in i
(d) When is the proportion of land used for farming increasing most rapidly?
Round your answer to the nearest year.
The proportion of land used for farming is increasing most rapidly in about i
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Transcribed Image Text:The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land.1 The proportion, P, of land in use for
farming t years after 1935 is modeled with the logistic function
1
P =
1 + 3e-0.0275t
(a) What proportion of the land was in use for farming in 1935?
Enter an exact answer.
25
% of the land was in use in 1935.
(b) What is the long-run prediction for this model?
Enter an exact answer.
In the long-run, P approaches i
(c) When was half the land in use for farming?
Round your answer to the nearest year.
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