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 in a table?

Back

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

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

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

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 pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

Can a proportional relationship be represented by a fraction?

Back

Yes, a proportional relationship can be represented by a fraction that remains constant.

Front

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

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

How do you determine if a set of points on a graph represents a proportional relationship?

Back

If the points form a straight line that passes through the origin, they represent a proportional relationship.