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. i % 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

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
i
% 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
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. i % 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
Transcribed Image Text:(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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