Understanding Rates of Change and Gradient in Graphs

The video tutorial explains the concept of rate of change, which describes how one quantity changes in relation to another. It introduces the gradient of a line as a representation of this rate and provides methods to calculate it, such as using the change in Y over the change in X. The tutorial also covers interpreting the gradient in real-world contexts, like dollars per month. It distinguishes between linear and nonlinear relationships, explaining how to calculate average and instantaneous rates of change using chords and tangents, respectively.

What is the definition of a rate of change?

How do you calculate the gradient of a line?

What does the gradient represent in a graph?

What is the significance of calculating the gradient in real-world applications?

Explain the difference between average rate of change and instantaneous rate of change.