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 is constant.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

What is the key characteristic of a non-proportional relationship on a graph?

Back

It does not go through the origin (0,0).

Front

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

Back

If the ratios of the corresponding values are constant, then the table represents a proportional relationship.

Front

What is the definition of a constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If y is directly proportional to x, what is the equation that represents this relationship?

Back

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

Front

What does it mean if a graph is a straight line that does not pass through the origin?

Back

It indicates a non-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 of 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.

Front

What happens to the graph of a proportional relationship if the constant of proportionality increases?

Back

The slope of the line increases, making the line steeper.