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

What does a proportional relationship look like on a graph?

Back

A straight line that passes through the origin (0,0).

Front

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

Back

If the ratios of the corresponding values are constant, the table represents a proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship.

Front

If y is directly proportional to x, what is the equation that represents this relationship?

Back

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

Front

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

Back

The relationship between distance and time when traveling at a constant speed.

Front

What does it mean if a graph does not pass through the origin?

Back

It indicates that the relationship is not proportional.

Front

Can a proportional relationship be represented by a non-linear graph?

Back

No, a proportional relationship must be represented by a straight line graph.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio is constant; in non-proportional relationships, the ratio changes.

Front

If a table shows the 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).