Constant Rate of Change (short)

Front

What is the definition of 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, which remains the same over a given interval.

Front

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

Back

To calculate the rate of change, subtract the values of the dependent variable and divide by the change in the independent variable.

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as the independent variable increases, the dependent variable decreases.

Front

If a line has a slope of 2, what is the rate of change?

Back

The rate of change is 2, meaning for every 1 unit increase in the independent variable, the dependent variable increases by 2 units.

Front

What is the formula for calculating the slope (rate of change) of a line?

Back

The formula is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Front

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

Back

The rate of change can be identified by calculating the slope of the line connecting two points on the graph.

Front

What is the rate of change if the line is horizontal?

Back

The rate of change is 0, indicating that the dependent variable does not change as the independent variable changes.

Front

What is the rate of change if the line is vertical?

Back

The rate of change is undefined, as the independent variable does not change while the dependent variable changes.