Rate of Change

Front

What is the definition of 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 or a rate per unit of time.

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 positive rate of change indicate?

Back

A positive rate of change indicates that the quantity is increasing over time.

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 the quantity is decreasing over time.

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 for a bank account that increases by $100 every month?

Back

The rate of change is $100 per month.

Tags

CCSS.HSF-LE.A.1B

Front

If the temperature drops from 70°F to 50°F over 2 hours, what is the rate of change?

Back

The rate of change is -10°F per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the rate of change in a linear function?

Back

In a linear function, the rate of change is constant and is represented by the slope of the line.

Tags

CCSS.HSF-LE.A.1B

Front

How can you represent rate of change graphically?

Back

Rate of change can be represented as the slope of a line on a graph, where the x-axis represents time and the y-axis represents the quantity.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of the slope in a graph?

Back

The slope indicates the rate of change between two variables; a steeper slope means a greater rate of change.

Tags

CCSS.8.EE.B.5