Analyzing Tables to Define Linear Functions

This lesson covers the definition and identification of linear functions through tables and graphs. It explains the concept of a constant rate of change, represented by the slope 'm', and how changing 'm' affects the slope but not the linearity of the function. Examples include a back-to-school offer, a function with a negative slope, and museum visit costs, illustrating linear functions with different slopes. The lesson also contrasts linear functions with a nonlinear example involving the area of a square, highlighting the absence of a constant rate of change.

What does it mean for a function to have a constant rate of change? Provide an example from the lesson.

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In the context of the museum visit example, how is the total cost related to the number of visits?

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Why is the area of a square not considered a linear function? Explain your reasoning.

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