Proportional vs Nonproportional 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 nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line 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 = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis at a point other than the origin, it indicates a nonproportional relationship.

Front

Write an equation for a proportional relationship where the constant of proportionality is 3.

Back

y = 3x.

Front

Is the relationship described by the equation y = 4x + 2 proportional or nonproportional?

Back

Nonproportional, because it does not pass through the origin.

Front

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

Back

An example is the cost of apples at a store, where each apple costs the same amount.

Front

If the cost of 3 bags of popcorn is $7.50, what is the cost per bag?

Back

The cost per bag is $2.50, indicating a proportional relationship.