Rate of Change Review

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.

Tags

CCSS.HSF-LE.A.1B

Front

How do you calculate the rate of change between two points (x1, y1) and (x2, y2)?

Back

Rate of Change = (y2 - y1) / (x2 - x1)

Tags

CCSS.HSF-LE.A.1B

Front

Find the rate of change between the points (-2, 10) and (4, 14).

Back

2/3

Tags

CCSS.HSF-LE.A.1B

Front

What is the rate of change if a quantity increases by 30 units over 60 units of time?

Back

Rate of Change = 30/60 = 1/2 or 0.5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If Brian's rate of change is 30, what does this mean?

Back

It means that for every unit of time, Brian's quantity increases by 30 units.

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 the quantity is increasing.

Tags

CCSS.HSF-LE.A.1B

Front

What does a negative rate of change indicate?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

Find the rate of change for the following points: (1, 3) and (2, 7).

Back

Rate of Change = (7 - 3) / (2 - 1) = 4.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the rate of change for a line that rises 20 units for every 5 units it runs?

Back

Rate of Change = 20/5 = 4.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a line with a rate of change of -3?

Back

The slope is -3, indicating a decrease.

Tags

CCSS.8.EE.B.5