Proportional/Non-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 is a non-proportional relationship?

Back

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

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx.

Front

What is the constant of proportionality in the equation y = 1/3x?

Back

The constant of proportionality is 1/3.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the equation for a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 1.

Front

Does the equation y = 5x - 2 show a proportional relationship?

Back

No, it does not show a proportional relationship because it does not pass through the origin.

Front

What is the slope of the line in the equation y = 3x?

Back

The slope of the line is 3.

Front

If a table shows the values (1, 2), (2, 4), (3, 6), is this a proportional relationship?

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (2).