Proportion vs Non-Proportion

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning they do not increase or decrease at the same rate.

Front

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

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

What is the significance of a straight line in a graph?

Back

A straight line indicates a linear relationship, but it must also go through the origin to be considered proportional.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if the line is not straight.

Front

What is the formula for finding a constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

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

Back

In a proportional relationship, the slope of the line represents the constant ratio between the two quantities.

Front

Can a curvy line represent a proportional relationship?

Back

No, a curvy line cannot represent a proportional relationship; it must be 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 an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and total pay if there is a fixed salary plus overtime.