Proportional/Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. For example, if y is directly proportional to x, then y = kx, where k is a constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. This means that as one quantity changes, the other does not change at a consistent rate.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are the same for all pairs of values in the table.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality, indicating the rate at which y changes with respect to x.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx that describes the relationship between y and x in a proportional relationship.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx, where k = 3.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the two variables represented on the axes.

Front

How can you tell if an equation is non-proportional?

Back

An equation is non-proportional if it cannot be expressed in the form y = kx, or if it includes a constant term that does not equal zero.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, where the addition of 3 means the ratio between y and x is not constant.