Proportional/Non-proportional

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant. This means that as one quantity increases, the other quantity increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where their ratio is not constant. This means that the quantities do not increase or decrease at a consistent rate.

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 variable is zero, the other variable is also zero.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if it is a straight line that passes through the origin.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant ratio between the two variables.

Front

What are the characteristics of a proportional relationship?

Back

1. The graph is a straight line. 2. The line passes through the origin. 3. The ratio of the two variables is constant.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay if there is a fixed salary plus hourly pay.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table of values represents a proportional relationship if the ratio of the y-values to the x-values is constant for all pairs.

Front

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

Back

If a graph intersects the y-axis, it means that there is a value of y when x is zero. This indicates that the relationship may not be proportional.