Proportional Relationships Flashcard

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 it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What is the constant of proportionality?

Back

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

Front

What does a linear graph represent?

Back

A linear graph represents a relationship where the change in one variable is consistent with the change in another variable.

Front

If a graph is not linear, what can be said about the relationship?

Back

If a graph is not linear, it is not a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

If Marco bikes 15 miles in 1 hour, what is the constant of proportionality?

Back

The constant of proportionality is 15, meaning Marco bikes 15 miles for every hour.

Front

What can be inferred if a graph is a straight line but does not pass through the origin?

Back

If a graph is a straight line but does not pass through the origin, it indicates that the relationship is not proportional.