A certain national park is known to be able to support at most 100 grizzly bears. Ten bears are known to be in the park at present. Assume that the bear population growth is logistic in nature with a proportionality constant of k - 0.001. a. Determine the population of bears y(t) as an explicit function of time t. b. When will the bear population be 25? 50? c. Approximately when will the bear population become constant?
A certain national park is known to be able to support at most 100 grizzly bears. Ten bears are known to be in the park at present. Assume that the bear population growth is logistic in nature with a proportionality constant of k - 0.001. a. Determine the population of bears y(t) as an explicit function of time t. b. When will the bear population be 25? 50? c. Approximately when will the bear population become constant?
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
Related questions
Question
Can you solve for c. Approximately when will the bear population become constant
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 12 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning