Rate of Change from a Table

Front

What is the rate of change?

Back

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

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in one quantity is consistent over time, resulting in a straight line when graphed.

Front

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

Back

To calculate the rate of change from a table, divide the change in the dependent variable 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 one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

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

Front

If a table shows a change of 10 units in y for a change of 2 units in x, what is the rate of change?

Back

The rate of change is 10/2 = 5.

Front

What is the formula for rate of change?

Back

Rate of Change = (Change in y) / (Change in x) or (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in a graph?

Back

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

Front

If the rate of change is 3/2, what does this mean?

Back

This means that for every 2 units of change in the independent variable, the dependent variable changes by 3 units.

Front

What is an example of a real-world application of rate of change?

Back

An example is calculating speed, where the rate of change is distance over time.