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 equation of a proportional relationship?

Back

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

Front

What does it mean if a graph is proportional?

Back

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

Front

How can you tell if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Front

If y = 19.25x, what is the constant of proportionality?

Back

The constant of proportionality is 19.25.

Front

What does a straight line through the origin indicate on a graph?

Back

A straight line through the origin indicates a proportional relationship between the variables.

Front

Can a curve represent a proportional relationship?

Back

No, a curve cannot represent a proportional relationship; it must be a straight line.

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

Back

If the constant of proportionality increases, the slope of the graph becomes steeper.