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 the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. It shows how much of one quantity corresponds to one unit of another quantity.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of the corresponding values are constant.

Front

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

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional, meaning that when one quantity is zero, the other quantity is also zero.

Front

What is the equation of a proportional relationship?

Back

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

Front

If an object weighs 42 lbs on Earth, how much does it weigh on the Moon?

Back

7 lbs.

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

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

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of the quantities are not constant or if the graph does not pass through the origin.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.