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 quantity is constant.

Front

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

Back

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

Front

What is the graphical representation of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

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

Front

How do you identify proportional ratios?

Back

Proportional ratios can be identified by checking if the cross products of the ratios are equal.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is the significance of the origin in a proportional relationship graph?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, indicating a direct relationship.

Front

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

Back

No, a proportional relationship cannot be represented by a non-linear graph; it must be a straight line through the origin.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific case of proportional relationships where the second quantity is one.