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 quantity is constant.

Front

How can you identify a proportional relationship from a graph?

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 a constant.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, the ratios of the corresponding values in the table are equivalent.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same value.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx that relates the two quantities.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship cannot be proportional if it does not pass 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 significance of the slope in a proportional relationship graph?

Back

In a proportional relationship graph, the slope represents the constant of proportionality (k).

Front

How can you tell if a graph is not proportional?

Back

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