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

Front

What does a graph of a proportional relationship look like?

Back

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

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

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation y = kx.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed, where distance = speed × time.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, the ratios of corresponding values are not equal, indicating a non-constant relationship.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

What is the relationship between x and y in a proportional table?

Back

In a proportional table, as x increases, y increases at a constant rate, maintaining a constant ratio.

Front

What is the significance of the origin in proportional relationships?

Back

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