Proportional Graphs

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 quantity is constant.

Front

How can you identify a proportional graph?

Back

A proportional graph passes through the origin (0,0) and has a straight line that represents a constant ratio.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you tell if a graph is nonproportional?

Back

A nonproportional graph does not pass through the origin and may have curves or lines that do not represent a constant ratio.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between the two quantities in a proportional relationship.

Front

Can a proportional relationship be represented by a table?

Back

Yes, a proportional relationship can be represented by a table where the ratios of corresponding values are constant.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when one quantity is zero, the other quantity is also zero.

Front

How do you determine if a set of points represents a proportional relationship?

Back

To determine if a set of points represents a proportional relationship, check if the ratios of the y-values to the x-values are constant.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship in real life is the relationship between distance and time when traveling at a constant speed.