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

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

Which of the following equations represents a proportional relationship? y = x + 3, y = 7x

Back

y = 7x

Front

What does it mean if a graph is linear and passes through the origin?

Back

It means that the graph represents a proportional relationship.

Front

What is the definition of a non-proportional relationship?

Back

A non-proportional relationship is when the ratio between two quantities is not constant.

Front

True or False: The point (4, 2) in a proportional relationship means that 4 items were purchased for $2.

Back

True

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is the constant ratio between the two quantities.

Front

If a graph is curvy, does it represent a proportional relationship?

Back

No, a curvy graph does not represent a proportional relationship.

Front

What is the significance of the origin (0,0) in proportional relationships?

Back

The origin represents the starting point where both quantities are zero, indicating that there is no cost or quantity.

Front

How do you determine if a set of points is proportional?

Back

You can determine if a set of points is proportional by checking if the ratios of the y-values to the x-values are constant.