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1-001d-HotelPopulationDecay-ModelingScenario

Author(s): Dina Yagodich

Keywords: simulation logistic exponential decay fitting

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Abstract

Resource Image You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.

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Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Before you run the simulation in MATLAB, answer the following questions in your report:

  • How many people do you think will be left if you ran this experiment an infinite number of times?  Call this the Steady State solution. 
  • How many days do you think it will take to get to the steady state solution?

Further scenarios follow with targeted questions and results.

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Authors

Author(s): Dina Yagodich

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