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. It is often represented as a slope in a graph.

Front

How do you calculate the rate of change from two points on a line?

Back

Rate of change = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the rate of change of a horizontal line?

Back

The rate of change of a horizontal line is 0, indicating no change in the y-value as the x-value changes.

Front

What is the rate of change of a vertical line?

Back

The rate of change of a vertical line is undefined, as it does not have a slope.

Front

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

Back

The rate of change is 60 miles per hour.

Front

If a plant grows 2 inches in 4 weeks, what is the rate of change?

Back

The rate of change is 0.5 inches per week.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope (rate of change) is 3.

Front

What does a slope of -2 mean in a real-world context?

Back

A slope of -2 means that for every 1 unit increase in x, y decreases by 2 units.