Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Tags

CCSS.7.RP.A.2B

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3

Tags

CCSS.7.RP.A.2B

Front

If y = 5x, what is the constant of proportionality?

Back

k = 5

Tags

CCSS.7.RP.A.2B

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship between y and x, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

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

Back

The constant of proportionality can be found by calculating the ratio of y to x (k = y/x) for any point on the line.

Tags

CCSS.7.RP.A.2B

Front

What is the constant of proportionality if y = 8 when x = 2?

Back

k = 8/2 = 4

Tags

CCSS.7.RP.A.2B

Front

In the equation y = 1/4x, what is the constant of proportionality?

Back

k = 1/4

Tags

CCSS.7.RP.A.2B

Front

Why is the equation y = 2x + 3 not proportional?

Back

It is not proportional because it does not pass through the origin (0,0).

Front

If the constant of proportionality is 6, which equation is correct?

Back

y = 6x

Tags

CCSS.7.RP.A.2C

Front

What does it mean if k = 0 in a proportional relationship?

Back

If k = 0, it means that y is always 0 regardless of the value of x.

Tags

CCSS.7.RP.A.2B