Proportional Relationships

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 from a table?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If a table shows values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

If a table shows values (1, 2), (2, 5), (3, 6), does it represent a proportional relationship?

Back

No, because the ratios are not constant.

Front

What is the constant of proportionality for the table: (1, 45), (2, 90), (3, 135)?

Back

The constant of proportionality is 45.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

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

Back

A non-proportional graph does not have a constant ratio and does not pass through the origin.

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 finding the constant of proportionality?

Back

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