Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio or slope.

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a linear relationship between two variables, where the change in one variable is consistent for every change in the other.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in y) / (Change in x).

Front

What is the slope of a line?

Back

The slope of a line is the rate of change of the y-coordinate with respect to the x-coordinate, often represented as 'm' in the equation y = mx + b.

Front

What does a positive rate of change signify?

Back

A positive rate of change signifies that as one variable increases, the other variable also increases.

Front

What does a negative rate of change signify?

Back

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

Front

What is a non-linear rate of change?

Back

A non-linear rate of change occurs when the relationship between two variables is not constant, resulting in a curve rather than a straight line.

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 unit of rate of change in a real-world context?

Back

The unit of rate of change depends on the context, such as dollars per ticket, miles per hour, or gallons per minute.

Front

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

Back

A rate of change of zero indicates that there is no change in the dependent variable as the independent variable changes.