Proportional vs Nonproportional Relationships

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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the value of y when x is zero; in proportional relationships, the y-intercept is always zero.

Front

If the cost of 3 bags of popcorn is $7.50, is this proportional?

Back

Yes, because the cost per bag is constant at $2.50.

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.

Front

Can a linear graph represent a non-proportional relationship?

Back

Yes, a linear graph can represent a non-proportional relationship if it has a non-zero y-intercept.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

If a relationship is proportional, what happens to one quantity if the other quantity is doubled?

Back

If one quantity is doubled in a proportional relationship, the other quantity also doubles.