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' in the equation y = kx.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the quantities remains constant.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If 100 is earned for each hour worked, what is the constant of proportionality?

Back

The constant of proportionality is 100.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Front

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

Back

Yes, the constant of proportionality is 3.

Front

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

Back

The constant of proportionality is 5.

Front

How can you find the constant of proportionality from a graph?

Back

You can find it by selecting two points on the line, calculating the ratio of the y-values to the x-values.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the quantities changes and does not remain constant.

Front

If a person earns $300 after working 4 hours, what is the constant of proportionality?

Back

The constant of proportionality is 75, calculated as 300/4.