Constant of Proportionality (Tables)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.

Front

What is the constant of proportionality for the table where x = 3 and y = 9?

Back

The constant of proportionality is 3, since 9/3 = 3.

Front

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

Back

Yes, all pairs have a constant ratio of 2.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, the ratios of the corresponding values are not constant.

Front

Fill in the blank: If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

Identify the constant of proportionality in the equation y = 3x.

Back

The constant of proportionality is 3.

Front

What is the constant of proportionality for the table: (1, 2), (2, 4), (3, 6)?

Back

The constant of proportionality is 2.

Front

Which table represents a non-proportional relationship? (1, 2), (2, 5), (3, 6)

Back

The table (2, 5) is non-proportional because the ratio is not constant.

Front

If the constant of proportionality is 1/2, what is y when x = 8?

Back

y = 4, since 8 * 1/2 = 4.