Rate of Change

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. It is often expressed as a ratio or a unit rate.

Tags

CCSS.HSF-LE.A.1B

Front

Define unit rate.

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

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). This formula calculates the slope of the line connecting the two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of the slope in a linear relationship?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

If a car travels 120 miles in 2 hours, what is the unit rate of speed?

Back

60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does the point (3, 27) represent in a context of shirts and price?

Back

The point (3, 27) represents $27 for 3 shirts.

Tags

CCSS.8.EE.B.5

Front

What is the rate of change if a line rises 4 units for every 2 units it runs?

Back

The rate of change is 2 (4 units/2 units).

Tags

CCSS.HSF-LE.A.1B

Front

How can you interpret a rate of change of $20 each week?

Back

It means that for every week that passes, the quantity increases by $20.

Tags

CCSS.HSF-LE.A.1B

Front

What is the rate of change if a car's speed decreases from 60 mph to 30 mph in 1 hour?

Back

The rate of change is -30 mph (a decrease of 30 mph).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6