Proportional Relationships in Tables

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

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

Back

To find the constant of proportionality, divide one quantity by the corresponding quantity in the other column. The result should be the same for all pairs.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity changes in relation to another in a proportional relationship.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the formula to find a missing value in a proportional relationship?

Back

To find a missing value, use the formula: missing value = known value × constant of proportionality.

Front

How can you tell if a relationship is proportional by looking at a table?

Back

A relationship is proportional if the ratios of corresponding values are equal.

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 difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio is constant, while in non-proportional relationships, the ratio changes.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

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

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.