Proportional Relationships, Graphs, Tables and Equations

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 is constant.

Front

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

Back

A table represents a proportional relationship if the unit rate (the ratio of y to x) is constant for all pairs of values.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in a proportional relationship, often represented as y = kx.

Front

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

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the constant of proportionality (k)?

Back

You find k by dividing y by x (k = y/x).

Front

What does it mean if the unit rate is not constant?

Back

If the unit rate is not constant, the relationship is not proportional.

Front

Can a graph that is not a straight line represent a proportional relationship?

Back

No, a graph that is not a straight line cannot represent a proportional relationship.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the equation of a proportional relationship?

Back

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