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.

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

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