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 slope.

Front

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

Back

To calculate the rate of change, subtract the initial value from the final value and divide by the change in the independent variable.

Front

What does a constant rate of change indicate?

Back

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

Front

What is the formula for calculating the rate of change?

Back

Rate of Change = (Change in Quantity) / (Change in Time) or (y2 - y1) / (x2 - x1).

Front

If a table shows a decrease in values, what can be said about the rate of change?

Back

If the values decrease, the rate of change will be negative.

Front

What does a non-linear rate of change mean?

Back

A non-linear rate of change means that the relationship between the quantities does not remain constant and can vary at different intervals.

Front

Example: If a table shows values of 10, 7, 4, and 1, what is the rate of change?

Back

The rate of change is -3, calculated as (1 - 10) / (3 - 0).

Front

What is the significance of a negative rate of change?

Back

A negative rate of change indicates a decrease in the quantity over time.

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 rate of change if the values in a table are 5, 10, 15, and 20?

Back

The rate of change is 5, calculated as (20 - 5) / (4 - 1).