Proportional Relationships in Tables and Graphs

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 proportional relationship in a table can be identified if the ratios of corresponding values are the same.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

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

How can you determine if a graph represents a proportional relationship?

Back

You can determine if a graph represents a proportional relationship by checking if it is a straight line that passes 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' in the equation y = kx.

Front

What does it mean if a table shows a non-proportional relationship?

Back

If a table shows a non-proportional relationship, the ratios of the values are not constant.

Front

Can a graph be proportional if it does not pass through the origin?

Back

No, a graph cannot be proportional if it does not pass through the origin.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship in real life is the relationship between distance and time at a constant speed.