Rate of change is the ratio that describes how much one quantity changes in comparison to another quantity.  Given an independent variable, x, and dependent variable, y, the rate of change is determined by dividing the change in y by the change in x.

Rate of Change = change in y over change in x Change in y Change in x = Δy over Δx Δy Δx


Video segment. Assistance may be required. View the video to learn more about rate of change.

Source: Rate of Change, Brian Shepard, YouTube

Pause and Reflect

  1. What are some examples of real-world rates of change?

    Interactive popup. Assistance may be required.

    Check Your Answer

    Speed of a vehicle (miles per hour), weight loss (pounds per week), sports statistics (points per game), growth of people or plants (inches per month or year)Close Pop Up

  2. How can a graph be used to represent a rate of change?

    Interactive popup. Assistance may be required.

    Check Your Answer

    The dependent variable is placed on the y-axis, and the independent variable is placed on the x-axis. The steepness of the line describes the rate of change.Close Pop Up