Rate of Change

Front

What is the definition of rate of change?

Back

Rate of change is defined as the change in the value of a quantity divided by the change in another quantity, typically expressed as change of y / change of x.

Front

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

Back

To calculate the rate of change from a graph, determine the vertical change (change in y) and the horizontal change (change in x) between two points, then divide the vertical change by the horizontal change.

Front

What is the formula for constant rate of change?

Back

The formula for constant rate of change is: Rate of Change = (Change in y) / (Change in x).

Front

If a car travels 100 miles in 2 hours, what is the rate of change in miles per hour?

Back

The rate of change is 50 miles per hour (100 miles / 2 hours).

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that the quantity is increasing over time.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that the quantity is decreasing over time.

Front

In a table showing hours worked and money earned, how do you find the rate of change?

Back

To find the rate of change, divide the change in money earned by the change in hours worked.

Front

What is the average rate of change?

Back

The average rate of change is the total change in a quantity divided by the total time or interval over which the change occurred.

Front

If the number of fish caught increased from 10 to 40 over 3 weeks, what is the average rate of change?

Back

The average rate of change is about 10 fish per week ((40 - 10) / 3 weeks).

Front

What is the significance of the slope in a linear graph?

Back

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