9 - Mathematical Modeling
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Practice Questions
Test your understanding with targeted questions
Define exponential growth.
π‘ Hint: Think about how bacteria grow in a lab.
What does K represent in logistic growth?
π‘ Hint: Consider the maximum population that can be sustained.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the equation for exponential growth?
π‘ Hint: Focus on equations dealing with unlimited resources.
True or False: The carrying capacity is the maximum population an environment can support.
π‘ Hint: Think of ecosystems struggling with too many species.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a scenario where a population of 200 deer grows at a rate of 0.05 and has a carrying capacity of 1000, calculate the deer population after five years using the logistic growth model.
π‘ Hint: Make sure to break down the equation step-by-step for clarity.
Design and explain a sustainable fishing quota based on a fish population of 10,000 with a growth rate of 0.07 in a lake that can sustainably support 15,000 fish.
π‘ Hint: Consider both growth rates and practical harvesting techniques.
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