Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent amount that a quantity increases or decreases over a specific period of time. It is often represented as a slope in a graph.

Front

How do you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph is identified by a straight line that passes through the origin (0,0). If the line does not pass through the origin, it is not proportional.

Front

What does a slope of 0 mean in a graph?

Back

A slope of 0 means that there is no change in the y-value as the x-value changes, indicating a horizontal line.

Front

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

Back

The formula for calculating the constant rate of change is: (Change in y) / (Change in x).

Front

If a table shows a profit of $10 for 1 hour, $20 for 2 hours, and $30 for 3 hours, what is the constant rate of change?

Back

$10 per hour.

Front

What does it mean if the constant rate of change is undefined?

Back

An undefined constant rate of change occurs when there is no change in the y-value while the x-value changes, often represented by a vertical line.

Front

In a graph, if the line rises from left to right, what does that indicate?

Back

If the line rises from left to right, it indicates a positive constant rate of change.

Front

In a graph, if the line falls from left to right, what does that indicate?

Back

If the line falls from left to right, it indicates a negative constant rate of change.

Front

What is the constant rate of change if a car travels 60 miles in 1 hour?

Back

60 miles per hour.

Front

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

Back

To find the constant rate of change from a table, calculate the difference in the y-values and divide by the difference in the x-values.