Proportional vs NonProportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning that changes in one quantity do not result in consistent changes in the other.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship, as the ratio between the two quantities is not constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in the form y = mx + b, where b is not equal to zero.

Front

If y = 2x, is this relationship proportional or non-proportional?

Back

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

Front

If y = 3x + 1, is this relationship proportional or non-proportional?

Back

Non-proportional, because it includes a constant term (1) that shifts the line.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant ratio between the two quantities.

Front

What is a table of values for a proportional relationship?

Back

A table of values for a proportional relationship will show pairs of numbers that maintain a constant ratio.