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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

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

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the significance of the constant 'k' in the equation y = kx?

Back

The constant 'k' represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

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

If y = 3x, is this a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx with k = 3.

Front

If a graph does not pass through the origin, what type of relationship does it represent?

Back

It represents a non-proportional relationship.

Front

How many tablespoons of honey are needed for 20 cups of flour if the ratio is 1 tbsp of honey for every 1.25 cups of flour?

Back

16 tablespoons.