Post Utme Achievers University 2024 Biology Question 6

Practice objective / multiple choice question 6 from the 2024 Post Utme Achievers University Biology examination.

Post Utme Achievers University 2024 Biology Objective / Multiple Choice
Question 6 POST_UTME_ACHIEVERS_UNIVERSITY • 2024 • BIOLOGY • objective

In a population of bacteria, the growth rate is modeled by the \logistic equation \( \frac{dP}{dt} = rPleft\( 1 - \frac{P}{K}\right \ \) ). If the carrying capacity ( K ) is 1000 and the initial population is 100, find the time ( t ) at which the population reaches 900.

Answer Options

A. \frac{1}{r}
B. \frac{1}{r} \ln\left\( \frac{900}{100}\right \)
Correct Answer C. \frac{1}{r} \ln\left\( \frac{1000}{900}\right \)
D. \frac{1}{r} \ln\left\( \frac{900}{1000}\right \)
Correct Answer
C
Correct Option:
\frac{1}{r} \ln\left\( \frac{1000}{900}\right \)

About This Question

This is Post Utme Achievers University 2024 Biology Question 6. It is one of the objective questions from the 2024 Post Utme Achievers University Biology examination.

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