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 or a fraction.

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 variables is linear, meaning the same amount of change occurs for equal intervals.

Front

If a table shows a change of 20 units in y for a change of 5 units in x, what is the rate of change?

Back

The rate of change is 20/5 = 4.

Front

What is the significance of a negative rate of change?

Back

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

Front

What does it mean if the rate of change is not constant?

Back

If the rate of change is not constant, it indicates a non-linear relationship where the change in one variable does not consistently correspond to the change in another.

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 of the dependent variable divided by the differences in the independent variable are the same.

Front

What is the formula for calculating the rate of change?

Back

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

Front

What does a rate of change of 0 indicate?

Back

A rate of change of 0 indicates that there is no change in the dependent variable as the independent variable changes.

Front

If a table shows a cost of $50 for 100 minutes and $60 for 120 minutes, what is the rate of change?

Back

Rate of Change = (60 - 50) / (120 - 100) = 10 / 20 = 0.5 dollars per minute.