Front

What is the concept of 'rate of change'?

Back

Rate of change refers to how much a quantity changes in relation to another quantity. It is often expressed as a ratio or a slope in a graph.

Front

How can you represent a story using a graph?

Back

A graph can represent a story by showing the relationship between two variables, such as time and distance, illustrating how one changes in relation to the other.

Front

What does a steeper slope on a graph indicate?

Back

A steeper slope indicates a greater rate of change, meaning the quantity is changing more rapidly.

Front

What is the difference between constant and variable rates of change?

Back

Constant rate of change means the quantity changes at a steady rate, while variable rate of change means the quantity changes at different rates over time.

Front

How do you determine who has a greater rate of change between two individuals?

Back

To determine who has a greater rate of change, compare the slopes of their respective graphs; the one with the steeper slope has the greater rate of change.

Front

What is a linear graph?

Back

A linear graph is a graph that shows a straight line, indicating a constant rate of change between two variables.

Front

What does it mean if two lines on a graph are parallel?

Back

If two lines on a graph are parallel, it means they have the same slope and therefore the same rate of change.

Front

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

Back

The formula for calculating the slope (m) is: m = (change in y) / (change in x).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can you interpret a graph that shows distance over time?

Back

A graph showing distance over time can be interpreted to understand how fast an object is moving; the steeper the line, the faster the object is moving.