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

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the factor by which one quantity changes in relation to another.

Front

Is the equation y = 3x a proportional relationship?

Back

Yes, y = 3x is a proportional relationship because it can be expressed in the form y = kx with k = 3.

Front

Is the equation y = x + 2 a proportional relationship?

Back

No, y = x + 2 is not a proportional relationship because it does not pass through the origin.

Front

What is the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

How do you determine if a set of points represents a proportional relationship?

Back

To determine if a set of points represents a proportional relationship, check if the ratio y/x is constant for all points.

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.