11.08 Multiple Representations of 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 the equation y = kx represent?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant factor that relates two proportional quantities.

Front

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

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What does it mean if a graph is linear but not proportional?

Back

A linear graph that is not proportional has a constant rate of change but does not pass through the origin.

Front

What is the significance of the point (0,0) in a proportional relationship graph?

Back

The point (0,0) indicates that when x is 0, y is also 0, which is a characteristic of proportional relationships.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the y-value by the corresponding x-value for any pair of values.

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 does it mean for a relationship to be non-linear?

Back

A non-linear relationship means that the rate of change between the two quantities is not constant.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.