Rate of Change

Front

What is the definition of Rate of Change?

Back

Rate of Change is a measure of how a quantity changes in relation to another quantity, often expressed as the change in the dependent variable divided by the change in the independent variable.

Front

What is the formula for calculating the Rate of Change?

Back

Rate of Change = \frac{\text{Change in } y}{\text{Change in } x} = \frac{y_2 - y_1}{x_2 - x_1}

Front

What does the slope of a line represent in terms of Rate of Change?

Back

The slope of a line represents the Rate of Change between two points on that line.

Front

If a line has a slope of 0, what does that indicate about the Rate of Change?

Back

A slope of 0 indicates that there is no change in the y-value as the x-value changes; the Rate of Change is 0.

Front

How do you find the slope (Rate of Change) between two points (x1, y1) and (x2, y2)?

Back

Use the formula: \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the Rate of Change if the coordinates are (2, 4) and (6, 4)?

Back

The Rate of Change is 0, since the y-values are the same.

Front

True or False: The Rate of Change can be negative.

Back

True, a negative Rate of Change indicates a decrease in the dependent variable as the independent variable increases.

Front

What is the Rate of Change for a linear function?

Back

For a linear function, the Rate of Change (slope) is constant throughout the function.

Front

What does 'rise over run' mean in the context of Rate of Change?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a graph.

Front

If a graph shows a steep incline, what can be said about its Rate of Change?

Back

A steep incline indicates a high Rate of Change.