A hypothetical population of rats has an initial population of I = 400, the Carrying Capacity for their environment is K =10,000 and the constant of proportionality for the rat population is k = 3/4. Use the logistic growth model to estimate the time it takes for the rat population to reach 5,000 rats. (* you must round your answer to the nearest 10th of a year) HINT: Use the model P=K/(1+Ae^(-kt) ) ,A= (K-I)/I  with e≈2.7128   ANSWER:_1_ years. (WARNING! Your answer must be entered in the form - #.# to be understood by the Angel grader)   A hypothetical population of rats has an initial population of I = 400, the Carrying Capacity for their environment is K =10,000 and the constant of proportionality for the rat population is k = 3/4. Use the logistic growth model to estimate the rat population after 4 years. HINT: Use the model P=K/(1+Ae^(-kt) ) ,A= (K-I)/I  with e≈2.7182

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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A hypothetical population of rats has an initial population of I = 400, the Carrying Capacity for their environment is K =10,000 and the constant of proportionality for the rat population is k = 3/4. Use the logistic growth model to estimate the time it takes for the rat population to reach 5,000 rats. (* you must round your answer to the nearest 10th of a year) HINT: Use the model P=K/(1+Ae^(-kt) ) ,A= (K-I)/I  with e≈2.7128

 

ANSWER:_1_ years. (WARNING! Your answer must be entered in the form - #.# to be understood by the Angel grader)

 

A hypothetical population of rats has an initial population of I = 400, the Carrying Capacity for their environment is K =10,000 and the constant of proportionality for the rat population is k = 3/4. Use the logistic growth model to estimate the rat population after 4 years. HINT: Use the model P=K/(1+Ae^(-kt) ) ,A= (K-I)/I  with e≈2.7182

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