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'. It remains constant throughout the relationship.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratio of the values in the table is constant.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the constant of proportionality for the table: (1, 3), (2, 6), (3, 9)?

Back

The constant of proportionality is 3.

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Front

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

Back

A non-proportional relationship does not have a constant ratio between the quantities.

Front

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

Back

You can find it by selecting two points on the line, calculating the ratio of y to x for those points.

Front

What is the constant of proportionality if y = 2x?

Back

The constant of proportionality is 2.