Greater Rate of Change

Front

What is the 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?

Back

Rate of change = (Change in value) / (Change in time) or (Change in y) / (Change in x) in a graph.

Front

What does a greater rate of change indicate?

Back

A greater rate of change indicates that a quantity is changing more rapidly compared to another quantity.

Front

If two lines on a graph have different slopes, what does that mean?

Back

The line with the steeper slope has a greater rate of change than the line with a gentler slope.

Front

What is a slope in the context of a graph?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What does it mean if two quantities have the same rate of change?

Back

It means that both quantities are changing at the same rate over the same interval.

Front

In a real-world scenario, how can rate of change be applied?

Back

Rate of change can be applied in various contexts, such as speed (distance over time), population growth, or financial interest.

Front

What is the significance of a negative rate of change?

Back

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

Front

What is the formula for calculating the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

How can you visually identify the rate of change on a graph?

Back

You can identify the rate of change by looking at the steepness of the line; steeper lines indicate a greater rate of change.