Rate of Change in Tables

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 fraction.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

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

Back

To calculate the rate of change, divide the change in the dependent variable by the change in the independent variable between two points.

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 that the relationship between two variables is linear, meaning the same amount of change occurs for equal intervals.

Tags

CCSS.HSF-LE.A.1B

Front

If a table shows a change of 20 units in y for a change of 5 units in x, what is the rate of change?

Back

The rate of change is 20/5 = 4.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of a negative rate of change?

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 it mean if the rate of change is not constant?

Back

If the rate of change is not constant, it indicates a non-linear relationship where the change in one variable does not consistently correspond to the change in another.

Tags

CCSS.HSF-LE.A.1B

Front

How can you identify a constant rate of change in a table?

Back

A constant rate of change can be identified if the differences between consecutive values of the dependent variable divided by the differences in the independent variable are the same.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for calculating the rate of change?

Back

Rate of Change = (Change in y) / (Change in x).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a rate of change of 0 indicate?

Back

A rate of change of 0 indicates that there is no change in the dependent variable as the independent variable changes.

Tags

CCSS.HSF-LE.A.1B

Front

If a table shows a cost of $50 for 100 minutes and $60 for 120 minutes, what is the rate of change?

Back

Rate of Change = (60 - 50) / (120 - 100) = 10 / 20 = 0.5 dollars per minute.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6