Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two variables in a proportional relationship, expressed as y = kx.

Tags

CCSS.7.RP.A.2B

Front

How is the constant of proportionality represented in an equation?

Back

The constant of proportionality is represented as the coefficient of x in the equation y = kx.

Tags

CCSS.7.RP.A.2C

Front

What does the point (0, 0) represent in a graph?

Back

The point (0, 0) is called the origin, where the x-axis and y-axis intersect.

Tags

CCSS.6.NS.C.6B

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Tags

CCSS.7.RP.A.2B

Front

If y = 33x, what is the constant of proportionality?

Back

The constant of proportionality is 33.

Tags

CCSS.7.RP.A.2B

Front

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

Back

You find the constant of proportionality by determining the slope of the line, which is the ratio of the rise (change in y) to the run (change in x).

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate determined by the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

If the constant of proportionality is 40, what is the equation?

Back

The equation is y = 40x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What happens to y if x is doubled in a proportional relationship?

Back

If x is doubled, y will also double, maintaining the constant ratio.

Front

What is the formula to calculate the constant of proportionality from a table of values?

Back

The constant of proportionality (k) can be calculated by dividing y by x for any pair of corresponding values.

Tags

CCSS.7.RP.A.2B