Proportional/Non-Proportional Relationships

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 determine if a table represents a proportional relationship?

Back

You can determine if a table represents a proportional relationship by checking if the ratios (y/x) are equal for all pairs of values.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the constant 'k' represent in the equation y = kx?

Back

The constant 'k' represents the constant of proportionality, which is the ratio of y to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

Give an example of a non-proportional relationship.

Back

An example of a non-proportional relationship is a situation where a carpet cleaning company charges $40 for the first room and $25 for each additional room.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line representing the relationship is equal to the constant of proportionality 'k'.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What is the difference between proportional and non-proportional relationships in terms of equations?

Back

Proportional relationships can be expressed as y = kx, while non-proportional relationships may include a constant term (e.g., y = kx + b, where b ≠ 0).

Front

What does it mean if a relationship is described as linear?

Back

A linear relationship is one that can be represented by a straight line on a graph, which can be either proportional or non-proportional.