Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a slope in a graph.

Front

How do you calculate the rate of change from a graph?

Back

To calculate the rate of change, find the difference in the y-values (vertical change) and divide it by the difference in the x-values (horizontal change). This is often referred to as 'rise over run'.

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the slope of a line?

Back

The slope of a line is a number that describes the direction and steepness of the line. It is calculated as the rate of change.

Front

If a graph is horizontal, what is the rate of change?

Back

If a graph is horizontal, the rate of change is 0, indicating no change in the y-value as the x-value changes.

Front

If a graph is vertical, what is the rate of change?

Back

If a graph is vertical, the rate of change is undefined, as the x-value does not change while the y-value does.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

What is a non-linear relationship?

Back

A non-linear relationship is a relationship between two variables that does not form a straight line on a graph, indicating a variable rate of change.

Front

How can you identify the fastest section of a graph?

Back

The fastest section of a graph is identified by the steepest slope, which indicates the greatest rate of change.