Rate of Change

Front

What is the definition of rate of change?

Back

Rate of change is defined as the change in the value of a quantity divided by the change in another quantity, typically expressed as change of y / change of x.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a steeper slope on a graph indicate about the rate of change?

Back

A steeper slope indicates a greater rate of change, meaning the quantity is changing more rapidly.

Tags

CCSS.HSF.IF.B.4

Front

If a car travels 150 miles in 3 hours, what is its average speed?

Back

50 miles per hour.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for calculating average speed?

Back

Average speed = total distance / total time.

Tags

CCSS.8.EE.C.7B

Front

If the temperature increases from 30°F to 50°F over 4 hours, what is the rate of change in temperature?

Back

5°F per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Which section of a distance-time graph indicates the object is at rest?

Back

A horizontal line indicates the object is at rest.

Tags

CCSS.8.EE.B.5

Front

If a person runs 10 miles in 2 hours, what is their average rate of change in speed?

Back

5 miles per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does it mean if the rate of change is negative?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

How do you calculate the rate of change from a graph?

Back

Rate of change can be calculated by finding the slope of the line connecting two points on the graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the rate of change if a plant grows from 2 inches to 10 inches in 4 weeks?

Back

2 inches per week.

Tags

CCSS.HSF-LE.A.1B