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'.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship is identified by 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 the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of the other variable.

Front

If 4 hours of work earns $200, what is the constant of proportionality?

Back

The constant of proportionality is $50 per hour.

Front

Which of the following represents a proportional relationship: (2,4), (3,6), (4,8)?

Back

All pairs represent a proportional relationship because they maintain the same ratio of 1:2.

Front

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

Back

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

Front

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

Back

The constant of proportionality is 3.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Front

If the constant of proportionality is 1/2, what does this imply about the relationship?

Back

For every 1 unit increase in x, y increases by 1/2 units.