6.8 Proportional and 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 is the characteristic of a proportional relationship on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

How can you identify a proportional relationship from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, then the relationship is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

What does it mean if a relationship is linear?

Back

A linear relationship means that the graph of the relationship is a straight line.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line always passes through the origin (0,0), indicating that when x is 0, y is also 0.

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 is the equation for a non-proportional relationship?

Back

An example of a non-proportional relationship is y = mx + b, where b is not equal to 0.