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shoreline to get nothing but rain where everyone else got more than 12” of snow.
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An input variable is missing or is outside its valid range
Example
: The recipe serves as a basic model for preparing a meal but when followed in Colorado
the food is undercooked.
Why?
At high altitudes (approximately 3500 feet or more above sea level) cooking food
requires higher temperatures and longer amounts of time.
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Misinterpretations of results
Example
: You check a BMI chart and find that according to the model you are overweight.
Why?
You failed to notice that the model uses metric units of measurement for the output
variable (metric versus U.S. customary units).
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The model is overly complex
Example
: Filing taxes with the 1040 as opposed to the 1040EZ
Why?
Using the income tax form 1040 when you are single with no dependents and the
standard deduction may produce the correct tax owed but will be inefficient and
provide more chances for errors.
A
re You Ready?
Before continuing, you should be able to ...
I can...
OR
Here’s my question...
differentiate between a deterministic and
probabilistic model
identify, interpret, and put meaning to the
inputs and outputs in a model
explain the steps of the methodology for
analyzing and using a mathematical model
P
lan
How to complete the activity
1. Review the sample applications of the methodology. Download or access the example case study for
the Model.
2. Use this same tool to model the cost of different cell phone plans based on your phone usage habits
and preferences. Then choose the option with the lowest cost.
3. Explain the mathematical model based upon inputs, outputs, and relationships so that another person
can understand what the model is without seeing the model.
4. Answer the Critical Thinking Questions.
9.1 Analyzing and Using Mathematical Models