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 constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

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

Back

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

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant, and the graph does not pass through the origin.

Front

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

Back

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

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 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

How can you identify a proportional relationship from a set of data points?

Back

You can identify a proportional relationship from a set of data points by checking if the ratios of y to x are the same for all points.

Front

What is the significance of the slope in a proportional relationship graph?

Back

In a proportional relationship graph, the slope represents the constant of proportionality (k).

Front

What happens to the graph of a proportional relationship if the constant of proportionality is increased?

Back

If the constant of proportionality is increased, the slope of the graph becomes steeper, indicating a greater rate of change.