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

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

Back

A graph represents a proportional relationship if it is linear and passes through the origin (0,0).

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the unit rate (the ratio of the two quantities) is not constant.

Front

What is the constant of proportionality?

Back

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

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the equation of a line in a proportional relationship?

Back

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

Front

If an object weighs 42 lbs on Earth, how much would it weigh on the Moon if the ratio is 1:6?

Back

It would weigh 7 lbs on the Moon.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the graph of the relationship forms a straight line.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples per pound; if apples cost $2 per pound, then 3 pounds cost $6.