Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, often represented as 'k'.

Front

Identify the constant of proportionality in the equation y = 1.50x.

Back

k = 1.50

Front

True or False: The constant of proportionality is the same as the unit rate.

Back

True

Front

What does a constant of proportionality of k = 3 mean in a proportional relationship?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

If the constant of proportionality is k = 2/3, what is the unit rate?

Back

The unit rate is 2/3.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of y to x is constant.

Front

What is the constant of proportionality for the table showing 3 hours = $27?

Back

k = 9 (since $27/3 hours = $9 per hour).

Front

If a table shows values (2, 4), (3, 6), (4, 8), what is the constant of proportionality?

Back

k = 2 (since y/x = 2 for all pairs).

Front

What is the constant of proportionality if y = 14 when x = 2?

Back

k = 7 (since 14/2 = 7).

Front

If a proportional relationship has k = 1/9, what does this indicate?

Back

It indicates that for every 1 unit of x, y increases by 1/9 units.