Rate of Change

Front

What is the average rate of change of Pete's height from 3 years old to 5 years old if he grew 8 inches?

Back

4 inches per year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Define rate of change.

Back

Rate of change is the change in y divided by the change in x (change of y / change of x).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If it rained 6 cm over 3 hours, what is the rate of rainfall?

Back

2 cm per hour

Tags

CCSS.HSF-LE.A.1B

Front

Given a snowfall of 6 inches on January 8 and 12 inches on January 11, what is the average rate of change in snowfall?

Back

1.5 inches per day.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Calculate the average rate of change from 20 to 40 minutes.

Back

-2 gallons per minute.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the formula for calculating average rate of change?

Back

Average rate of change = (f(b) - f(a)) / (b - a) where f is a function.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a car travels 60 miles in 1 hour, what is its average speed?

Back

60 miles per hour.

Tags

CCSS.HSF-LE.A.1B

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

If the temperature increased from 20°C to 30°C over 5 hours, what is the average rate of temperature change?

Back

2°C per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6