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 the change in the dependent variable divided by the change in the independent variable.

Front

How do you calculate the rate of change?

Back

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

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a linear relationship between two variables, meaning the graph of the relationship is a straight line.

Front

What does a non-constant rate of change indicate?

Back

A non-constant rate of change indicates a non-linear relationship, meaning the graph of the relationship is curved.

Front

If a car travels 60 miles in 1 hour, what is the rate of change in miles per hour?

Back

Rate of change = 60 miles / 1 hour = 60 miles per hour.

Front

What is the average rate of change?

Back

The average rate of change is the total change in the dependent variable divided by the total change in the independent variable over a specific interval.

Front

What is the formula for average rate of change between two points (x1, y1) and (x2, y2)?

Back

Average rate of change = (y2 - y1) / (x2 - x1).

Front

What does 'rise over run' mean in the context of rate of change?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a graph.

Front

What is the significance of a negative rate of change?

Back

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

Front

What is a slope in relation to rate of change?

Back

The slope of a line represents the rate of change; it is calculated as the change in y divided by the change in x.