Rate of Change in Tables

Front

What is the definition of rate of change?

Back

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

Front

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

Back

To calculate the rate of change, divide the change in the dependent variable by the change in the independent variable between two points.

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates that the relationship between two quantities is linear, meaning it changes at a consistent rate.

Front

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

Back

5 units per hour.

Front

What is the formula for rate of change?

Back

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

Front

What does a negative rate of change signify?

Back

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

Front

In the context of a graph, what does the slope represent?

Back

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

Front

What is the rate of change if the cost increases from $20 to $50 over 3 hours?

Back

The rate of change is $10 per hour.

Front

How can you identify a constant rate of change in a table?

Back

A constant rate of change can be identified if the differences between consecutive values are the same.

Front

What is the significance of a zero rate of change?

Back

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