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**Four Faces of a Linear Function**

Saving for an iPhone

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**Today we will… Define Linear Relationship**

Discuss the Four Faces of a Linear Function Summarize the iPhone Investigation

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**Definition of a Linear Relationship**

Comparison of two variables that change at constant rates. Definition of a Linear Relationship

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**Four Faces of a Linear Function**

Table Graph Equation Story Problem

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Table

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Graph

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Equation

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Story Problem

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**How can we see a linear relationship in each of the four faces of a function?**

Table ~ both the independent and dependent variables will increase or decrease at a constant rate Graph ~ line (Linear) Equation ~ will be in the form of y = mx + b; the equation will be in the first degree Story Problem ~ will contain a constant; look for the word “per” in the story problem

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Linear Models. Functions n function - a relationship describing how a dependent variable changes with respect to an independent variable n dependent variable.

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