Proportional Graphs and tables

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 if a graph is proportional?

Back

A graph is proportional if it 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 (k) between two proportional quantities, often represented as y = kx.

Front

How can you identify a proportional graph from a table?

Back

A proportional graph will have a constant unit rate, meaning the ratio of y to x is the same for all pairs of values.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, calculated as y/x.

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 a non-proportional relationship.

Front

What is the format to find the constant unit rate?

Back

The constant unit rate is found in the format y/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.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when the ratio between two quantities is not constant.

Front

How can you tell if a table represents a non-proportional relationship?

Back

If the ratios of y to x are different for different pairs of values, the relationship is non-proportional.