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

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change is the ratio that describes how one quantity changes in relation to another, remaining consistent throughout.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equivalent.

Front

What does it mean for a graph to represent a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

How do you find the constant of proportionality from a proportional relationship?

Back

The constant of proportionality can be found by dividing one quantity by the corresponding quantity in the relationship.

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 proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

How can you identify a proportional relationship from a graph?

Back

You can identify a proportional relationship from a graph by checking if the line is straight and passes through the origin.

Front

What is the formula for a proportional relationship?

Back

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