Constant Rate of Change - Table

Front

What is the constant rate of change?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, indicating how much one quantity changes in relation to another.

Front

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

Back

To calculate the constant rate of change, divide the change in the y-values by the change in the x-values between two points.

Front

What does a constant rate of change indicate about a relationship?

Back

A constant rate of change indicates a linear relationship between two variables, meaning that as one variable increases or decreases, the other does so at a consistent rate.

Front

What is the constant rate of change if the change in y is 20 and the change in x is 5?

Back

The constant rate of change is 20/5 = 4.

Front

If there is no change in y as x changes, what is the constant rate of change?

Back

The constant rate of change is 0.

Front

What does a negative constant rate of change signify?

Back

A negative constant rate of change signifies that as one variable increases, the other variable decreases.

Front

If the constant rate of change is 5/2, what does this mean in terms of the relationship between x and y?

Back

For every 2 units increase in x, y increases by 5 units.

Front

What is the constant rate of change if the values in a table are (2, 10) and (4, 20)?

Back

The constant rate of change is (20-10)/(4-2) = 10/2 = 5.

Front

What does it mean if a table shows no constant rate of change?

Back

It means that the relationship between the variables is not linear, and the change in y does not consistently relate to the change in x.

Front

How can you tell if a table has a constant rate of change?

Back

You can tell if a table has a constant rate of change by checking if the differences between y-values divided by the differences between x-values are the same for all pairs of points.