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 determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

Are the ratios 8/10 and 28/35 proportional?

Back

Yes, because 8 * 35 = 280 and 10 * 28 = 280.

Front

Does the graph represent a proportional relationship if it passes through the origin?

Back

Yes, a graph that passes through the origin represents a proportional relationship.

Front

What does it mean if a table represents a proportional relationship?

Back

It means that the ratios of the values in the table are constant.

Front

Are the ratios 3/4 and 36/40 proportional?

Back

No, because 3 * 40 = 120 and 4 * 36 = 144.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

How can you represent a proportional relationship using an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.

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 does it mean if a graph does not represent a proportional relationship?

Back

It means that the relationship between the variables is not constant and does not pass through the origin.