Tables: Proportional or Non-proportional

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, defined as k = y/x.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

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

Back

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

Front

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

Back

The constant of proportionality is k = 2.

Front

If a table shows values (2, 4), (4, 8), (6, 12), is it proportional?

Back

Yes, it is proportional; k = 2.

Front

If a table shows values (1, 3), (2, 5), (3, 7), is it proportional?

Back

No, it is non-proportional; the ratios are not constant.

Front

What is the formula to find the constant of proportionality from a table?

Back

k = y/x for any pair of corresponding values.

Front

If the constant of proportionality is k = 1/2, what does this imply?

Back

This implies that for every 1 unit increase in x, y increases by 1/2 units.

Front

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

Back

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