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 it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

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

Back

A proportional graph must pass through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Front

How can you identify a proportional relationship from a table of values?

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Front

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

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.

Front

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

Back

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

Front

Can a straight line be non-proportional?

Back

Yes, a straight line can be non-proportional if it does not pass through the origin.

Front

What is a constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line, which is the change in y over the change in x.

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.