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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

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

Back

The slope (rate of change) is 3.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5