Proportional vs. Non-Proportional

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant, and it passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio between x and y and does not pass through the origin.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of y to x are constant for all pairs of values.

Front

What does the equation y = 3.75x + 2 represent?

Back

This equation represents a non-proportional relationship because it includes a constant term (2) that shifts the line up.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph must pass through the origin (0,0) to indicate that when x=0, y=0.

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.

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 an example of a non-proportional relationship?

Back

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

Front

What does it mean if a table is described as non-proportional?

Back

It means that the ratios of y to x are not constant, indicating a variable relationship.