Is It Proportional?

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 quantity is constant.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two variables.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) between two proportional quantities, often expressed as y = kx.

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 (y/x) are equal for all pairs.

Front

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

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.

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 tell if two quantities are proportional using a ratio?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

Front

What is a common misconception about proportional relationships?

Back

A common misconception is that any straight line graph represents a proportional relationship; however, only lines that pass through the origin do.

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, which is a key characteristic of proportional relationships.