# Modeling Relationships - Problem Set Solutions

Taught by TheMathDude
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Lesson Summary:

In this lesson, the instructor discusses how to determine if a relationship can be modeled. They go through examples of relationships between levels of responsibility and sanity, number of employees and employee productivity, computer brand and quality-to-cost ratio, dating relationships between male and female students, time and the Dow Jones stock index, and price and sales of a product. The instructor evaluates these relationships based on whether there is a clear input and output, if it's functional, and whether there are numbers associated with it. They also discuss the possibility of data existing and whether one of the four functions can be used to model the relationship. Overall, this lesson provides a comprehensive understanding of how to model relationships.

Lesson Description:

Solutions to a problem set determining if a relationship can be modeled.

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• How can you determine whether a real-world relationship can be modeled algebraically?
• What are the six properties you can use to determine whether a relationship can be modeled with an algebraic model?
• How can you tell whether a data set is a good fit for an algebraic model by looking at the graph or plot of the data?
• Is there a relationship between time and the Dow Jones stock index?
• Is there a relationship between price of a product and the annual sales of the product?
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This lesson goes through the solutions to the problem set to determine whether real-world relationships can be modeled using an algebraic function. Each of the six properties is examined for each relationship. Make sure to download and try the problem set first before you watch the video solutions.