Equations: Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented by 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

How can you identify if a graph is proportional?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the equation of a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2C

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 does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not maintain a constant ratio between the variables, and its graph does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

In the equation y = (2/5)x, what is the value of k?

Back

The value of k is 2/5.

Tags

CCSS.7.RP.A.2C

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

Tags

CCSS.7.RP.A.2D

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the y-value by the corresponding x-value for any pair of values.

Tags

CCSS.7.RP.A.2B

Front

What is an example of a proportional relationship in real life?

Back

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

Tags

CCSS.7.RP.A.2A

Front

If the equation is y = (4/3)x, what is the simplified fraction for k?

Back

The simplified fraction for k is 4/3.

Tags

CCSS.7.RP.A.2C