Constant Rate of Change

Front

What is the constant rate of change?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, indicating how much one quantity changes in relation to another.

Front

How do you calculate the constant rate of change from a table?

Back

To calculate the constant rate of change, take the difference in the y-values and divide it by the difference in the x-values between two points.

Front

What does a negative constant rate of change indicate?

Back

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

Front

What does a positive constant rate of change indicate?

Back

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

Front

If the constant rate of change is 5, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 5 units.

Front

What is the formula for constant rate of change?

Back

The formula is: Constant Rate of Change = (Change in y) / (Change in x).

Front

What is the significance of the slope in a linear graph?

Back

The slope represents the constant rate of change between the two variables represented on the graph.

Front

How can you identify a constant rate of change from a graph?

Back

A constant rate of change is identified by a straight line on the graph, where the slope remains the same.

Front

What does it mean if a graph is proportional?

Back

A proportional graph passes through the origin (0,0) and has a constant rate of change.

Front

What is an example of a constant rate of change in everyday life?

Back

An example is a car traveling at a constant speed of 60 miles per hour; the distance traveled increases consistently over time.