Rate of Change

Front

What is rate of change?

Back

Describes how one quantity changes in relation to another quantity.

Front

In a graph, what does a steeper slope indicate about the rate of change?

Back

A steeper slope indicates a greater rate of change.

Front

What is the formula for calculating rate of change?

Back

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

Front

If a car travels 60 miles in 1 hour, what is its rate of change in miles per hour?

Back

60 miles per hour.

Front

What does a horizontal line on a graph represent in terms of rate of change?

Back

A horizontal line represents a rate of change of 0, meaning no change in the quantity.

Front

How can you determine which section of a graph shows the fastest rate of change?

Back

Look for the section with the steepest slope.

Front

If a person earns $500 for every 8 hours worked, what is their rate of change in dollars per hour?

Back

$62.50 per hour.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that one quantity is decreasing as the other quantity increases.

Front

If the rate of change is constant, what type of graph will it produce?

Back

A straight line.

Front

What is the rate of change from 3 to 4.5 seconds if the distance traveled is 0 meters?

Back

0 m/s.