Proportional vs. Non-Proportional

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, which remains constant throughout.

Front

Is this table proportional or non-proportional?

Back

Proportional because the C.O.P. is the same for each column.

Front

Does the equation y = 14x show proportionality?

Back

Yes, it shows proportionality because it can be expressed as y = kx, where k is the constant of proportionality.

Front

Which equation shows a NON-proportional relationship of x and y?

Back

y = x + 3, because it includes a constant term that shifts the line.

Front

Does the table represent a proportional relationship?

Back

No, because the C.O.P. is not the same for each column.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph 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

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

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

Back

A non-proportional relationship will not be a straight line or will not pass through the origin.