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 graph?

Back

A proportional relationship in a graph can be identified if the line passes through the origin (0,0) and is straight.

Front

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

Back

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

Front

What is the constant of proportionality?

Back

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

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

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 when traveling at a constant speed.

Front

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

Back

To calculate the constant of proportionality from a table, divide one quantity by the corresponding quantity in the other column.

Front

What does it mean if a graph has a slope that is not constant?

Back

If a graph has a slope that is not constant, it indicates that the relationship between the two quantities is not proportional.

Front

Can a relationship be partially proportional?

Back

No, a relationship is either proportional or not proportional; there is no such thing as a partially proportional relationship.