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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.HSF-IF.C.7A