Proportional Relationships in tables, graphs, 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 tell if a table represents a proportional relationship?

Back

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

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope represents the constant rate of change between the two quantities.

Front

What is the equation of a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Front

If a graph passes through the origin, what does that indicate?

Back

It indicates that the relationship is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and denominator by the least common denominator (LCD) of the fractions involved.

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 does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.

Front

How can you represent a proportional relationship using a graph?

Back

You can represent it with a straight line that passes through the origin.