Rate of Change (Graphs)

Front

What is the rate of change in a graph?

Back

The rate of change in a graph represents how much one quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

Front

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

Back

To calculate the rate of change, find the change in the vertical direction (rise) and divide it by the change in the horizontal direction (run). The formula is: Rate of Change = Rise / Run.

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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?

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

Front

What is the unit of measurement for rate of change?

Back

The unit of measurement for rate of change depends on the quantities being compared, such as feet per minute, dollars per movie, or miles per hour.

Front

If a graph shows a constant rate of change, what does that mean?

Back

A constant rate of change means that the relationship between the two quantities is linear, and the slope of the graph remains the same.

Front

What is the slope of a line in a graph?

Back

The slope of a line in a graph represents the rate of change and is calculated as the rise over run.

Front

How can you identify the rate of change from a graph visually?

Back

You can identify the rate of change visually by observing the steepness of the line; steeper lines indicate a greater rate of change.

Front

What is an example of a real-world application of rate of change?

Back

An example of a real-world application of rate of change is calculating speed, such as how many miles a car travels per hour.

Front

What does it mean if the rate of change is zero?

Back

If the rate of change is zero, it means that there is no change in the quantity; the graph is horizontal.