Rate of change from tables

Front

What is the rate of change (ROC)?

Back

The rate of change (ROC) is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope of a line in a graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the rate of change from a table of values?

Back

To calculate the ROC from a table, use the formula: ROC = (change in y) / (change in x) between two points.

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 as one quantity increases, the other quantity decreases.

Tags

CCSS.HSF-LE.A.1B

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of a rate of change of zero?

Back

A rate of change of zero indicates that there is no change in the dependent variable as the independent variable changes; the graph is horizontal.

Tags

CCSS.HSF-LE.A.1B

Front

How can you tell if a table represents a linear relationship?

Back

A table represents a linear relationship if the rate of change (ROC) is constant between all pairs of points.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) of a line is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

If the ROC is 3, what does this mean in practical terms?

Back

If the ROC is 3, it means that for every 1 unit increase in x, y increases by 3 units.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if the ROC is not constant?

Back

If the ROC is not constant, it indicates a non-linear relationship between the variables.

Tags

CCSS.HSF-LE.A.1B

Front

How do you interpret a ROC of -1/4?

Back

A ROC of -1/4 means that for every 4 units increase in x, y decreases by 1 unit.

Tags

CCSS.HSF-LE.A.1B