Identifying Proportional Relationships (tables)

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

How can you identify a proportional relationship in a table?

Back

You can identify a proportional relationship in a table by checking if the ratios of corresponding values are the same.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the fixed ratio between two quantities in a proportional relationship.

Front

If x = 3 and y = 9, what is the constant of proportionality?

Back

The constant of proportionality is 3, since 9 divided by 3 equals 3.

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 shows x values of 1, 2, 3 and corresponding y values of 2, 4, 6, is this proportional?

Back

Yes, this is proportional because the ratio y/x is constant (2).

Front

What is the constant ratio in the table: x = 5, y = 15?

Back

The constant ratio is 3, since 15 divided by 5 equals 3.

Front

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

Back

A non-proportional table means that the ratios of corresponding values are not constant.

Front

If a table has x values of 2, 4, 6 and y values of 5, 10, 15, is it proportional?

Back

No, it is not proportional because the ratios (y/x) are not constant.

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.