Proportional vs. Non-Proportional Equations

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 is constant.

Front

What is the equation for a proportional relationship?

Back

y = kx, where k is a constant.

Front

What does the constant 'k' represent in the equation y = kx?

Back

The constant 'k' represents the constant of proportionality.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

What is an example of a non-proportional equation?

Back

y = k + x, where the relationship does not maintain a constant ratio.

Front

Does the equation y = 14x represent a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx.

Front

What is the difference between proportional and non-proportional equations?

Back

Proportional equations have a constant ratio (y = kx), while non-proportional equations do not maintain a constant ratio.

Front

Can a proportional relationship be represented in a table?

Back

Yes, in a table, the ratios of corresponding values will be constant.

Front

What is the graphical representation of a non-proportional relationship?

Back

A non-proportional relationship will not pass through the origin and may curve or be a straight line that does not start at (0,0).