Proportional or Non-Proportional (Tables)

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one in which the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equal. For example, if you have pairs of values (x, y), the ratio y/x should be constant.

Tags

CCSS.7.RP.A.2D

Front

What is the formula for determining proportionality?

Back

The formula for determining proportionality is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2B

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the fixed ratio between two proportional quantities. It is the factor by which one quantity is multiplied to obtain the other.

Tags

CCSS.7.RP.A.2B

Front

Can a linear equation represent a non-proportional relationship?

Back

Yes, a linear equation can represent a non-proportional relationship if it has a y-intercept that is not zero. This indicates that the relationship does not pass through the origin.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the pairs of values and draw a straight line through the origin. The slope of the line represents the constant of proportionality.

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 in real life 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 in real life?

Back

An example of a non-proportional relationship in real life is the relationship between the number of items purchased and the total cost when there is a fixed shipping fee added.

Tags

CCSS.7.RP.A.2D