Proportional 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 graph?

Back

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

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a nonproportional graph?

Back

A nonproportional graph does not pass through the origin and may be curved or straight.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between the two quantities in a proportional relationship.

Front

What is the significance of the origin in proportional graphs?

Back

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

Front

Can a graph be both proportional and nonproportional?

Back

No, a graph is either proportional or nonproportional based on its characteristics.

Front

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

Back

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

Front

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

Back

An example of a nonproportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.