Proportional vs. Non-Proportional

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How can you tell if an equation shows proportionality?

Back

An equation shows proportionality if it can be expressed in the form y = kx, where k is a constant.

Front

What does it mean if a graph is proportional?

Back

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

Front

What are the two requirements for a graph to be proportional?

Back

1. Must be a straight line. 2. Must pass through the origin.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship may be a straight line that does not pass through the origin or a curve.

Front

If the constant of proportionality is 16, what is the equation?

Back

The equation is y = 16x.

Front

What does it mean if the constant of proportionality is not the same for each column in a table?

Back

It means the relationship represented by the table is non-proportional.

Front

Can a proportional relationship be represented by a curved line?

Back

No, a proportional relationship must be represented by a straight line.

Front

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

Back

An example is the relationship between distance and time at a constant speed.