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 do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal across the table.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the quantities changes, meaning it does not have a constant of proportionality.

Front

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

Back

'k' represents the constant of proportionality in the equation, indicating how much y changes for a unit change in x.

Front

How can you find the constant of proportionality from a word problem?

Back

To find the constant of proportionality, divide the dependent variable by the independent variable for given pairs of values.

Front

What is the constant of proportionality if Craig earns $37 for 4 hours?

Back

The constant of proportionality is $9.25 per hour.

Front

Which of the following represents a proportional relationship: (1,2), (2,4), (3,6)?

Back

Yes, all pairs represent a proportional relationship with a constant of proportionality of 2.

Front

What is the constant of proportionality if k = 1.50?

Back

The constant of proportionality is 1.50, meaning for every unit increase in x, y increases by 1.50.

Front

How do you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.