Rate Of Change Review

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, often expressed as a ratio or slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the average rate of change?

Back

Average rate of change = (Change in value) / (Change in time) or (y2 - y1) / (x2 - x1).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a linear relationship between two variables, represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

What is a non-linear rate of change?

Back

A non-linear rate of change indicates that the relationship between two variables is not constant, resulting in a curve on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

If a line has a slope of 2, what does that mean in terms of rate of change?

Back

It means that for every 1 unit increase in the x-value, the y-value increases by 2 units.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the slope in a graph?

Back

The slope represents the rate of change between the two variables plotted on the graph.

Tags

CCSS.8.EE.B.5

Front

How can you determine which company has a greater rate of change from a graph?

Back

The company with the steeper slope on the graph has a greater rate of change.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What is the average rate of change of a function over an interval?

Back

It is the change in the function's value divided by the change in the input value over that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If Pete's height increased from 3 to 5 years old by 8 inches, what is the average rate of change?

Back

4 inches per year.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you interpret a rate of change of 75 feet/hour?

Back

It means that for every hour, the altitude increases by 75 feet.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6