Proportional and Non Proportional Relationships in Tables, Graphs, and Equations

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

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is of the form y = kx, where k is a constant.

Front

What does the slope of a line represent in a graph of a proportional relationship?

Back

The slope of a line in a graph of a proportional relationship represents the constant of proportionality.

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.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

How do you determine 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 of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

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.