Constant Rate of Change (CROC)

Front

What is the Constant Rate of Change (CROC)?

Back

The Constant Rate of Change (CROC) is a consistent rate at which one quantity changes in relation to another. It is often represented as a slope in a linear relationship.

Front

How do you calculate the Constant Rate of Change?

Back

To calculate the Constant Rate of Change, divide the change in the dependent variable by the change in the independent variable (CROC = Δy/Δx).

Front

What does a straight line on a graph indicate about the relationship between two variables?

Back

A straight line indicates a constant rate of change between the two variables, meaning the relationship is linear.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0), indicating a constant ratio between the two quantities.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is the significance of the slope in a linear graph?

Back

The slope represents the constant rate of change between the two variables plotted on the graph.

Front

If a graph shows a curvy line, what can be inferred about the rate of change?

Back

If a graph shows a curvy line, the rate of change is not constant; it varies at different points along the graph.

Front

What is the formula for finding the slope of a line?

Back

The formula for finding the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if the slope of a line is positive?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as one variable increases, the other variable decreases.