Proportional Relationships Review

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 identify if two quantities are proportional?

Back

Two quantities are proportional if they can be expressed as a constant ratio or if their graph is a straight line that passes through the origin.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the two quantities is not constant, and their graph does not form a straight line through the origin.

Front

Give an example of a proportional relationship.

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y and x are the two quantities.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, this is a proportional relationship because the ratio of flour to sugar (2:3) is constant.

Front

What happens to the graph of a proportional relationship when one quantity is doubled?

Back

When one quantity is doubled in a proportional relationship, the other quantity also doubles, resulting in a straight line through the origin.

Front

If the ratio of two quantities is 4:5, what is the constant of proportionality?

Back

The constant of proportionality is 4/5.