Identify Proportional and Non-Proportional Relationships

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.

Tags

CCSS.7.RP.A.2A

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Tags

CCSS.7.RP.A.2D

Front

Identify the equation that represents a proportional relationship: y = 3x or y = 3x + 2.

Back

y = 3x represents a proportional relationship because it passes through the origin.

Tags

CCSS.7.RP.A.2C

Front

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

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities.

Tags

CCSS.7.RP.A.2B

Front

Give an example of a proportional relationship in real life.

Back

An example is earning $10 for every hour worked; the total pay is proportional to the number of hours worked.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a relationship is described as 'non-proportional' in a word problem?

Back

It means that the relationship does not maintain a constant ratio, often due to additional fixed costs or starting values.

Tags

CCSS.7.RP.A.2D

Front

In the equation y = mx + b, what does 'b' represent?

Back

In this equation, 'b' represents the y-intercept, which indicates where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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 is also zero.

Tags

CCSS.7.RP.A.2D

Front

How can you visually identify a proportional relationship on a graph?

Back

A proportional relationship will be represented by a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D