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 slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the rate of change?

Back

To calculate the rate of change, use the formula: Rate of Change = (Change in Quantity) / (Change in Time).

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

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount in equal intervals of time.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope in a linear relationship?

Back

The slope is the rate of change between two points on a line, calculated as the rise over the run.

Tags

CCSS.8.EE.B.5

Front

If Taylor writes 25 words per minute, how many words does he write in 10 minutes?

Back

250 words (25 words/minute * 10 minutes).

Tags

CCSS.HSF-LE.A.1B

Front

What is the average rate of change from 20 to 40 minutes if the quantity changes from 10 to 0?

Back

-0.5 units per minute (Change in Quantity: 0 - 10 = -10; Change in Time: 40 - 20 = 20; Rate = -10/20 = -0.5).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the average rate of change in snowfall from January 8 to January 11 if it changes from 3 inches to 6 inches?

Back

1 inch per day (Change in Snowfall: 6 - 3 = 3 inches; Change in Days: 11 - 8 = 3 days; Rate = 3/3 = 1).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does it mean if a graph has no slope?

Back

If a graph has no slope, it indicates that there is no change in the quantity over time, meaning it is constant.

Tags

CCSS.8.EE.B.5