Constant Rate of Change

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

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

Back

A graph with a constant rate of change is a straight line, indicating a consistent relationship between the two variables.

Front

What is the formula for calculating the rate of change?

Back

Rate of Change = (Change in y) / (Change in x) or (y2 - y1) / (x2 - x1).

Front

If a graph shows a constant rate of change of 3 lb per person, what does this mean?

Back

It means that for every additional person, the total weight increases by 3 pounds.

Front

What does it mean if the rate of change is negative?

Back

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

Front

How can you determine if a graph shows a constant rate of change?

Back

You can determine this by checking if the slope of the line is consistent throughout the graph.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio between two quantities remains constant.

Front

What is the significance of the origin (0,0) in a graph?

Back

The origin represents the point where both variables are zero, and in proportional relationships, the graph passes through this point.

Front

If the constant rate of change is $250.00 per day, what does this imply?

Back

It implies that for each day, the quantity increases by $250.00.

Front

What does it mean if the constant rate of change is 2 girls for every boy?

Back

It means that for every 1 boy, there are 2 girls, indicating a ratio of girls to boys.