Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains 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 a table shows the values (2, 4), (3, 6), (4, 8), what is the constant of proportionality?

Back

k = 2, since each output is 2 times the input.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the output and x is the input.

Front

If the Williams family bought 4 concert tickets for $252, what is the price per ticket?

Back

$63.00

Front

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

Back

Yes, all pairs have a constant ratio of 2.

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

Identify the constant of proportionality for the equation y = 5x.

Back

k = 5.

Front

If a table shows values (1, 3), (2, 5), (3, 7), is this proportional?

Back

No, the ratios are not constant.