Average Rate of Change

Front

What is the Average Rate of Change?

Back

The Average Rate of Change is a measure of how much a quantity changes, on average, over a specific interval. It is calculated as the change in the value of a function divided by the change in the input value.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the Average Rate of Change?

Back

To calculate the Average Rate of Change between two points (x1, y1) and (x2, y2), use the formula: (y2 - y1) / (x2 - x1).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the Average Rate of Change from 0 to 2 seconds if the distance traveled is 5 feet?

Back

2.5 feet per second.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a runner travels 5 miles in 60 minutes, what is their average rate of change in miles per minute?

Back

0.083 miles per minute.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a negative Average Rate of Change indicate?

Back

A negative Average Rate of Change indicates that the quantity is decreasing over the interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Calculate the Average Rate of Change from 20 to 40 minutes if the gallons used are 10 and 20 respectively.

Back

-2 gallons per minute.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the Average Rate of Change of Pete's height from 3 years old to 5 years old if he grows from 30 inches to 38 inches?

Back

4 inches per year.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a climber's altitude changes from 400 feet to 700 feet over 4 hours, what is the Average Rate of Change?

Back

75 feet per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the Average Rate of Change if the distance traveled is constant?

Back

The Average Rate of Change is zero, indicating no change in distance.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How does the Average Rate of Change relate to the slope of a line?

Back

The Average Rate of Change between two points on a graph is equivalent to the slope of the line connecting those points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6