Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7200. The number of fish grew to 1050 in the first year. Find the logistic equation for the fish population, P(t), after t years. Be as exact as possible. How long will it take for the population to increase to 3600 (half of the carrying capacity)? years.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
icon
Related questions
Question
Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7200. The number of fish
grew to 1050 in the first year.
Find the logistic equation for the fish population, P(t), after t years. Be as exact as possible.
How long will it take for the population to increase to 3600 (half of the carrying capacity)?
years.
Transcribed Image Text:Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7200. The number of fish grew to 1050 in the first year. Find the logistic equation for the fish population, P(t), after t years. Be as exact as possible. How long will it take for the population to increase to 3600 (half of the carrying capacity)? years.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Transcendental Expression
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning