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 expressed as a ratio or a slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in value) / (Change in time) or (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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 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 is a constant rate of change?

Back

A constant rate of change means that the change in value is the same over equal intervals of time, resulting in a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

What is a non-linear rate of change?

Back

A non-linear rate of change means that the change in value varies over time, resulting in a curve on a graph.

Tags

CCSS.HSF-LE.A.1B

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

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

Back

The rate of change is 0 m/s.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

In a graph, what does a steeper slope indicate?

Back

A steeper slope indicates a greater rate of change.

Tags

CCSS.8.EE.B.5

Front

If a graph shows a flat line, what does that mean about the rate of change?

Back

A flat line indicates a rate of change of 0, meaning there is no change in value.

Tags

CCSS.HSF-LE.A.1B