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 identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of the corresponding values are the same.

Front

What is the constant of proportionality?

Back

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

Front

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

Back

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

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

What does a straight line on a graph indicate?

Back

A straight line on a graph indicates a linear relationship, which can be proportional if it passes through the origin.

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

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

Back

Divide the value of one quantity by the corresponding value of the other quantity.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it means that the value of the other quantity is zero when the first quantity is at a certain value.

Front

Can a graph be linear but not proportional?

Back

Yes, a graph can be linear but not proportional if it does not pass through the origin.