1.7 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 it mean if a table of values is proportional?

Back

If a table of values is proportional, the ratios of the corresponding values are equal.

Front

How can you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph is identified by a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

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

Back

The constant of proportionality is 3.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

Front

Which of the following is a characteristic of a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio and does not pass through the origin.

Front

In the equation y = ½x, what does the ½ represent?

Back

The ½ represents the constant of proportionality.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.

Front

How can you determine if a set of points on a graph is proportional?

Back

You can determine if a set of points is proportional by checking if they form a straight line through the origin.