Identifying 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

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 the same.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table does not show a proportional relationship?

Back

If a table does not show a proportional relationship, it means that the ratios of the quantities are not constant.

Tags

CCSS.7.RP.A.2A

Front

Give an example of a proportional relationship using a table.

Back

Example: If x = 1, 2, 3 and y = 2, 4, 6, the ratios (y/x) are all equal to 2.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio of the two quantities changes.

Tags

CCSS.7.RP.A.2D

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2B

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it show a proportional relationship?

Back

Yes, it shows a proportional relationship because the ratio y/x is constant (2).

Tags

CCSS.7.RP.A.2A