Finding the 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 table shows a proportional relationship?

Back

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

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

If y = 1.5x, what is the constant of proportionality?

Back

The constant of proportionality is 1.5.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

If a table has values (2, 6), (4, 12), and (6, 18), is it proportional?

Back

Yes, it is proportional because the ratio y/x is constant (3 in this case).

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If the constant of proportionality is 3, what is the value of y when x = 5?

Back

y = 3 * 5 = 15.

Front

What happens to the constant of proportionality if the relationship is not linear?

Back

If the relationship is not linear, the constant of proportionality does not exist.

Front

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

Back

The constant of proportionality can be identified as the slope of the line in a graph of y vs. x.