Proportional vs Non Proportional GENERAL

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if you double one quantity, the other quantity also doubles.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, if you increase one quantity, the other does not increase at a consistent rate.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal. If any ratio differs, it is non-proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

Give 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 does it mean if a graph is a straight line through the origin?

Back

If a graph is a straight line through the origin, it indicates a proportional relationship between the two variables.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If a relationship is non-proportional, what might you see in a graph?

Back

In a non-proportional relationship, the graph may show a curve or a straight line that does not pass through the origin.

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 items purchased and the total cost when there is a fixed fee added.

Front

How do you determine if a set of points is proportional?

Back

To determine if a set of points is proportional, check if the ratios of y-values to x-values are the same for all points.