Proportional or Non-Proportional (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

How can you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are the same.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

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

Back

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

Front

How can you tell if a graph represents a proportional relationship?

Back

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

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 when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

What is the difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another.

Front

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

Back

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

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.