Proportional vs. Non-Proportional

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

What does it mean for a graph to be proportional?

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio between two variables and is represented by a line that does not pass through the origin.

Front

Identify the equation that shows a non-proportional relationship: y = 5x, y = 2.5x, y = x + 3, y = 1/2x.

Back

y = x + 3 is a non-proportional relationship because it includes a constant term.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the constant of proportionality (C.O.P.) is the same for each pair of values.

Front

What is the definition of proportionality in mathematics?

Back

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

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it may be a straight line that does not pass through the origin or a curve.

Front

What is an example of a proportional equation?

Back

An example of a proportional equation is y = 3x, where the constant of proportionality is 3.

Front

What is an example of a non-proportional equation?

Back

An example of a non-proportional equation is y = 2x + 5, where the constant term (5) prevents it from passing through the origin.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line that passes through the origin.