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Create a Real World Linear System

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This assignments consists of two parts in the first part I want you to create a linear equation and in the second part I want you to create a system of equations.

Systems of Equations (Part I)
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be:

Number of Beers (B) = 5 times Number of Football Games (F), or B = 5F.

But suppose you drink 2 beers each day irrespective of football, but in addition you drink four beers during every football game. In this case:

Number of Beers (B) is 2 + 4 x Number of Football Games, or B = 2 + 4F.

Create a lineaer equation from your own life and then write a brief paper describing this linear function. It should relate a particular 'thing' to another 'thing'. It could be something about the amount of money you spend, the number of minutes you spend on the phone, number of miles you run each day, number of push ups, etc...

"Now that you have created a linear equation I want you to try to create a system of linear equations using the linear equation you just created as one of the equations".

For this SLP I want you to create a system of linear equations from your own life, it can be an extension of Part 1 of this SLP or something new entirely. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations, i.e., if you use X as a variable in the first equation and X represents a number of Beers then you need to use X in the second equation and it needs to represent number of Beers in the second equation.

Create your system of linear equations then write a brief paper describing the system. Is this a consistent system or inconsistent system?

Submit your assignment to CourseNet by the module's due date.


Create a linear equation based on something from your own life.

Create and solve a system of equations from your own life experiences.

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Solution Summary

Three everyday examples of linear equations and linear systems are described in the attached PDF document.

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