Identifying 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 is the constant of proportionality?

Back

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

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified from a table if the ratios of corresponding values are constant.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you determine if a graph is proportional or non-proportional?

Back

A graph is proportional if it is a straight line that passes through the origin; otherwise, it is non-proportional.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

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 happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

The graph will still be a straight line through the origin, but it will slope downwards.