Proportional Relationships in 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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality, denoted as k, is the constant ratio between two proportional quantities.

Front

If a table shows values (2, 4), (4, 8), and (6, 12), does it represent a proportional relationship?

Back

Yes, because the ratios (2:4, 4:8, 6:12) all simplify to 1:2.

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the corresponding values are not constant.

Front

How do you calculate the constant of proportionality from a table?

Back

To calculate the constant of proportionality, divide one quantity by the corresponding quantity in the other column.

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

What is the formula for a proportional relationship?

Back

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

Front

If k = 1/2, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by half a unit.

Front

How can you find a missing value in a proportional table?

Back

You can find a missing value by using the constant of proportionality and setting up a proportion.