Constant Rate of Change

Front

What is the constant rate of change?

Back

The constant rate of change is the rate at which one quantity changes in relation to another quantity, remaining consistent over a specific interval.

Front

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

Back

To calculate the rate of change from a graph, divide the change in the y-values by the change in the x-values (rise/run).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a store has 120 customers in 6 hours, what is the unit rate in customers per hour?

Back

20 customers per hour.

Front

What does a constant rate of change look like on a graph?

Back

A constant rate of change appears as a straight line on a graph, indicating that the relationship between the two variables is linear.

Front

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

Back

To find the constant rate of change from a table, subtract the values of one column from another and divide by the difference in the corresponding values of the other column.

Front

What is the formula for calculating the constant rate of change?

Back

The formula is: Rate of Change = (Change in y) / (Change in x).

Front

If a graph shows a change of 12 units in y for a change of 3 units in x, what is the rate of change?

Back

The rate of change is 4 (12/3).

Front

What is the significance of a zero rate of change?

Back

A zero rate of change indicates that there is no change in the dependent variable as the independent variable changes, represented by a horizontal line on a graph.

Front

What is the constant rate of change between the quantities in the table: (1, 5), (2, 10), (3, 15)?

Back

The constant rate of change is 5.