Non-Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two variables where the ratio of the variables is not constant. This means that as one variable changes, the other does not change in a consistent manner.

Front

How can you identify a non-proportional relationship in a graph?

Back

A non-proportional relationship can be identified in a graph if the line does not pass through the origin (0,0) or if the line is not straight.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two variables where the ratio of the variables is constant. This means that as one variable changes, the other changes at a consistent rate.

Front

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

Back

If a graph passes through the origin, it indicates that the relationship is proportional, meaning that when one variable is zero, the other variable is also zero.

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

An example of a non-proportional relationship is y = (1/4)x + 3, which includes a constant term that shifts the line up or down.

Front

True or False: A non-proportional relationship can be represented by a linear equation.

Back

True. A non-proportional relationship can be represented by a linear equation, but it will not pass through the origin.

Front

What is the significance of the y-intercept in a non-proportional relationship?

Back

The y-intercept in a non-proportional relationship indicates the value of y when x is zero, which is not zero in this case.

Front

How do you determine if a relationship is proportional or non-proportional from a table of values?

Back

To determine if a relationship is proportional or non-proportional from a table of values, check if the ratios of y to x are constant for all pairs of values.

Front

What is an example of a real-world non-proportional relationship?

Back

An example of a real-world non-proportional relationship is the cost of a phone plan that has a fixed monthly fee plus a charge per minute.