Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities, expressed in the form y = kx.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

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

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If Alycia earned $20.40 in 3 hours, what is her unit rate in dollars per hour?

Back

$6.80 per hour.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

If x = 6 and y = 126, what is the constant of proportionality?

Back

21.

Front

How can you express a proportional relationship mathematically?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the unit rate for Brian if he typed 30 words in 1 minute?

Back

30 words per minute.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is this a proportional relationship?

Back

Yes, the constant of proportionality is 3.