Rate of Change (Graphs)

Front

What is the rate of change?

Back

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

Front

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

Back

To calculate the rate of change from a graph, find the change in the vertical axis (y-axis) divided by the change in the horizontal axis (x-axis).

Front

What does a steeper graph indicate about the rate of change?

Back

A steeper graph indicates a greater rate of change, meaning the quantity is changing more rapidly.

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals.

Front

What does a horizontal line on a graph represent?

Back

A horizontal line represents a rate of change of zero, indicating that the quantity does not change.

Front

What does a vertical line on a graph represent?

Back

A vertical line is not a valid representation of a rate of change in a function, as it indicates an undefined slope.

Front

If a graph shows 10 miles per week, what does this mean?

Back

This means that for every week, the distance increases by 10 miles.

Front

What is the formula for rate of change?

Back

Rate of Change = (Change in y) / (Change in x) or (y2 - y1) / (x2 - x1).

Front

What does a negative rate of change indicate?

Back

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

Front

How can you interpret a rate of change of $2 per pound?

Back

This means that for every pound purchased, the cost increases by $2.