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 from a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equivalent.

Tags

CCSS.7.RP.A.2D

Front

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

Back

It means that the ratios of the corresponding values in the table are not constant.

Tags

CCSS.7.RP.A.2A

Front

Which equation represents a proportional relationship? y = 2x or y = x + 5?

Back

y = 2x represents a proportional relationship because it can be expressed as y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2C

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Tags

CCSS.7.RP.A.2B

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 an example of a proportional relationship in real life?

Back

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

Tags

CCSS.7.RP.A.2A

Front

Are the ratios 2/3 and 4/6 proportional?

Back

Yes, the ratios 2/3 and 4/6 are proportional because they simplify to the same value (2/3).

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

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