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 identify 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 the equation of a proportional relationship?

Back

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

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values in the table are constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Front

How can you determine if a set of data points is proportional?

Back

You can determine if a set of data points is proportional by checking if the ratios of the y-values to the x-values are the same for all points.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a linear equation that does not pass through the origin, such as y = 2x + 3.

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.

Front

How do you write an equation for a proportional relationship given a constant of proportionality?

Back

To write an equation for a proportional relationship, use the form y = kx, substituting k with the given constant of proportionality.

Front

What is the graphical representation of a non-proportional relationship?

Back

The graphical representation of a non-proportional relationship is a line that does not pass through the origin or a curve.