Proportional vs. Non-Proportional

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. This means 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 a relationship between two quantities where the ratio is not constant. This means that the quantities do not change in a consistent manner.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph. This indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph is identified by a straight line that passes through the origin.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis. In a proportional relationship, the y-intercept is always zero.

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph. It can be either proportional or non-proportional.

Front

How can you tell if a table represents a proportional relationship?

Back

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

Front

What is the difference between Table A and Table B if Table A is proportional and Table B is non-proportional?

Back

Table A will have a constant ratio between x and y values, while Table B will have varying ratios.

Front

What does it mean if a graph intersects the x-axis?

Back

If a graph intersects the x-axis, it means that there is a value of y that is zero for some value of x. This does not necessarily indicate a proportional relationship.

Front

Can a graph be linear but not proportional?

Back

Yes, a graph can be linear but not proportional if it does not pass through the origin.