Representing Proportional Relationships

Front

What is the constant of proportionality (k)?

Back

The constant of proportionality (k) is the ratio of two proportional quantities, representing how one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Tags

CCSS.7.RP.A.2A

Front

How can you determine if a table shows a proportional relationship?

Back

Check if the constant of proportionality (COP) is the same for all pairs of values in the table.

Tags

CCSS.7.RP.A.2A

Front

What is the equation of a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does the point (2,1) represent in a proportional relationship?

Back

It represents that for every 2 units of one quantity, there is 1 unit of the other quantity, but it does not mean mixing paint.

Tags

CCSS.7.RP.A.2D

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line representing the relationship.

Tags

CCSS.7.RP.A.2B

Front

What is a proportional relationship in real life?

Back

A proportional relationship can be seen in situations like speed and distance, where distance = speed × time.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin (0,0) in a proportional relationship?

Back

In a proportional relationship, the line passes through the origin, indicating that when one quantity is zero, the other is also zero.

Tags

CCSS.7.RP.A.2D

Front

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation that passes through the origin.

Tags

CCSS.7.RP.A.2C

Front

What happens to the constant of proportionality if one quantity doubles?

Back

If one quantity doubles, the other quantity also doubles, maintaining the constant ratio.

Tags

CCSS.7.RP.A.2B