Graphing from Situations

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two directly proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you determine the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify the slope of the line, which represents the ratio of the change in the y-value to the change in the x-value.

Front

What does a slope of 2 cm/hour indicate in a rainfall graph?

Back

It indicates that for every hour, 2 cm of rain falls.

Front

If a graph shows an increase of 80 miles every 2 hours, what is the rate of increase per hour?

Back

The rate of increase per hour is 40 miles.

Front

What does it mean if a graph is linear?

Back

A linear graph indicates a constant rate of change between the two variables.

Front

How can you interpret a graph that shows a flat line?

Back

A flat line indicates that there is no change in the dependent variable as the independent variable changes.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

What does a steeper slope in a graph indicate?

Back

A steeper slope indicates a greater rate of change between the two variables.

Front

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

Back

The rate of change can be found by calculating the slope of the line, which is the rise over run (change in y over change in x).

Front

What does it mean if a graph shows a decreasing trend?

Back

A decreasing trend indicates that as the independent variable increases, the dependent variable decreases.