Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

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

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is of the form y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

Which of the following equations is proportional: y = 4x or y = 4x + 2?

Back

y = 4x is proportional; y = 4x + 2 is non-proportional.

Front

What is the constant of proportionality in the table: (1, 2), (2, 4), (3, 6)?

Back

The constant of proportionality is 2.

Front

If a table shows the values (1, 5), (2, 10), (3, 15), is this a proportional relationship?

Back

Yes, the relationship is proportional with a constant of proportionality of 5.

Front

What is the constant of proportionality for the equation y = 1/2x?

Back

The constant of proportionality is 1/2.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the y-value by the corresponding x-value for any pair of values.