Constant of Proportionality - Graphs & Tables (no equations)

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

How can you identify if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph appears as a straight line that passes through the origin.

Front

What is the Constant of Proportionality in a table?

Back

The Constant of Proportionality in a table is found by dividing the values of one column by the corresponding values of another column.

Front

If a graph shows a straight line through the origin, is it proportional?

Back

Yes, if a graph shows a straight line through the origin, it is proportional.

Front

What is the Constant of Proportionality if the ratio of y to x is 6?

Back

The Constant of Proportionality is 6.

Front

How do you find the Constant of Proportionality from a graph?

Back

To find the Constant of Proportionality from a graph, determine the slope of the line, which represents the ratio of y to x.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two quantities.

Front

If a table shows values of (2, 4), (3, 6), (4, 8), what is the Constant of Proportionality?

Back

The Constant of Proportionality is 2, as each y-value is 2 times the corresponding x-value.

Front

What is the significance of the Constant of Proportionality in real-life situations?

Back

The Constant of Proportionality helps to understand relationships between quantities, such as speed, density, and pricing.