Proportional and Nonproportional 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 determine if a relationship is proportional using a table?

Back

To determine if a relationship is proportional using a table, divide the y-value by the x-value for each pair. If the result is the same for all pairs, the relationship is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

What does it mean if a relationship is nonproportional?

Back

A nonproportional relationship means that the ratio between the two quantities is not constant.

Front

If y = 3x + 2, is this a proportional relationship?

Back

No, because the equation includes a constant (2) that affects the ratio.

Front

What is the formula to find the constant of proportionality?

Back

The formula to find the constant of proportionality is k = y/x.

Front

In a proportional relationship, what happens to y if x is doubled?

Back

If x is doubled in a proportional relationship, y will also double.

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 do you identify a proportional relationship from a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).

Front

What is the difference between proportional and nonproportional relationships?

Back

Proportional relationships have a constant ratio, while nonproportional relationships do not.