Post Utme Greenfield University 2021 Geography Question 11

Practice objective / multiple choice question 11 from the 2021 Post Utme Greenfield University Geography examination.

Post Utme Greenfield University 2021 Geography Objective / Multiple Choice
Question 11 POST_UTME_GREENFIELD_UNIVERSITY • 2021 • GEOGRAPHY • objective

The population growth rate of a city is given by the equation ( rac{dP}{dt} = rP left( 1 - rac{P}{K} ight) ). If the carrying capacity ( K ) is 100,000 and the initial population ( P_0 ) is 50,000, find the population ( P(t) ) at time ( t ) using the logistic growth model.

Answer Options

Correct Answer A. ( P(t) = \frac{K}{1 + Ae^{-rt}}
B. ( P(t) = K \left( 1 - \frac{1}{1 + Ae^{-rt}} \right)
C. ( P(t) = \frac{K}{1 + Ae^{rt}}
D. ( P(t) = K \left( 1 - \frac{1}{1 + Ae^{rt}} \right)
Correct Answer
A
Correct Option:
( P(t) = \frac{K}{1 + Ae^{-rt}}

About This Question

This is Post Utme Greenfield University 2021 Geography Question 11. It is one of the objective questions from the 2021 Post Utme Greenfield University Geography examination.

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support