Rate of Change (Graphs)

Front

What is the definition of rate of change in the context of graphs?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often represented as a slope on a graph.

Front

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

Back

The rate of change can be calculated by finding the slope of the line, which is the change in the vertical axis (y) divided by the change in the horizontal axis (x).

Front

What does a positive rate of change indicate on a graph?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate on a graph?

Back

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

Front

What is the significance of a zero rate of change on a graph?

Back

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

Front

In the context of a graph, what does the slope represent?

Back

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

Front

How can you interpret a steep slope on a graph?

Back

A steep slope indicates a large rate of change, meaning that a small change in the independent variable results in a large change in the dependent variable.

Front

What does a flat slope indicate on a graph?

Back

A flat slope indicates a small rate of change, meaning that changes in the independent variable result in minimal changes in the dependent variable.

Front

What is the formula for calculating the slope (rate of change) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is (y2 - y1) / (x2 - x1).

Front

How does the rate of change apply to real-world scenarios?

Back

The rate of change can be used to analyze trends in various fields such as economics, physics, and biology, helping to understand how one variable affects another.