Constant of Proportionality with Equations

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the constant 'k' in the equation y = kx, which represents the ratio of y to x.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a non-zero constant, and it passes through the origin (0,0).

Tags

CCSS.7.RP.A.2C

Front

What does it mean if an equation does not represent a proportional relationship?

Back

If an equation does not represent a proportional relationship, it means that the relationship between the variables is not constant, and it may not pass through the origin.

Tags

CCSS.7.RP.A.2C

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

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

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

Can the equation y = 5 + 2x represent a proportional relationship? Why or why not?

Back

No, because it includes a constant term (5) that shifts the line up, meaning it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

If y = 0.5x, what is the constant of proportionality?

Back

The constant of proportionality is 0.5.

Tags

CCSS.7.RP.A.2B

Front

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

The graph will still be a straight line through the origin, but it will slope downwards from left to right.

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 of values, divide the value of y by the corresponding value of x for any pair of values.

Tags

CCSS.7.RP.A.2B