Proportional Relationships (Graphs & Tables)

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

If the ratios of corresponding values (y/x) are the same for all pairs, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the equation of a proportional relationship?

Back

Tags

CCSS.7.RP.A.2C

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity changes in relation to another in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

How do you determine the constant of proportionality from a table?

Back

Divide the value of y by the corresponding value of x for any pair of values in the table.

Tags

CCSS.7.RP.A.2B

Front

What does a graph of a proportional relationship look like?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of the line in a proportional relationship represents the constant of proportionality (k).

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the equation for a proportional relationship with a constant of proportionality of 4?

Back

Tags

CCSS.7.RP.A.2C

Front

If a table shows values (2, 8), (4, 16), (6, 24), is this relationship proportional?

Back

Yes, the relationship is proportional because the ratio of y to x is constant (4).

Tags

CCSS.7.RP.A.2A