
Logistic Growth Model Concepts
Interactive Video
•
Mathematics, Biology, Science
•
10th - 12th Grade
•
Practice Problem
•
Hard
Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the differential equation used to model the population?
dp/dt = 0.09p + 0.001p^2
dp/dt = 0.09p - 0.001p^2
dp/dt = 0.09p + 0.0001p^2
dp/dt = 0.09p - 0.0001p^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equilibrium population value for the given model?
900
0
100
1000
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When the population is less than the equilibrium, what is the behavior of the population?
Oscillating
Decreasing
Constant
Increasing
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What test value is used to determine the sign of dp/dt when the population is below equilibrium?
500
100
200
50
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive slope in the slope field indicate about the population?
The population is decreasing
The population is constant
The population is at equilibrium
The population is increasing
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the carrying capacity in the logistic growth model?
0
900
100
1000
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the intrinsic growth rate in the logistic growth model?
9%
15%
5%
10%
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