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 does a graph of a proportional relationship look like?

Back

A straight line that passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

How can you identify a proportional relationship from a table of values?

Back

If the ratio of the values in the table is constant, it represents a proportional relationship.

Front

What is the significance of the origin in proportional relationships?

Back

In a proportional relationship, the line must pass through the origin (0,0) to be considered proportional.

Front

If a graph does not pass through the origin, what can you conclude?

Back

It is a non-proportional relationship.

Front

What is the formula for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

It represents the ratio between the two quantities in a proportional relationship.

Front

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation in the form y = kx.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.