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

What does the y-axis represent in a graph?

Back

The y-axis represents the vertical axis in a graph, typically used to display the dependent variable.

Front

How do you calculate the constant rate of change?

Back

To calculate the constant rate of change, divide the change in the dependent variable by the change in the independent variable.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What does a negative rate of change indicate?

Back

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

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate of change.

Front

If the constant rate of change is 3 lb per person, what does this mean?

Back

It means for every additional person, the total weight increases by 3 pounds.

Front

What is the significance of the origin (0,0) in a graph?

Back

The origin (0,0) is the point where the x-axis and y-axis intersect, representing zero values for both variables.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change, where the relationship between the variables can be expressed with a straight line.

Front

How can you identify the constant rate of change from a table of values?

Back

By calculating the difference in the y-values divided by the difference in the x-values for any two points.