Topic 2 Flashcard - Proportional Relationships

Front

What is the constant of proportionality?

Back

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

Front

Write an equation for a proportional relationship where y is 19.25 times x.

Back

y = 19.25x

Front

What makes a graph proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

How can you determine if a graph is proportional or non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

Which of the following is a characteristic of a proportional relationship?

Back

A proportional relationship has a constant ratio between the two variables.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not maintain a constant ratio between the two variables.

Front

Identify the constant of proportionality in the equation y = 60x.

Back

The constant of proportionality is 60.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation is a straight line that passes through the origin.

Front

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

Back

No, it is non-proportional.

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.