For the direct variation equation y=2 2/3 x what is the constant of proportionality
To find the constant of proportionality in a direct variation equation, we need to examine the equation in the form:
y = kx
Here, "k" represents the constant of proportionality. In the given equation, y = (2 2/3)x, we can write it as:
y = (8/3)x
By comparing this equation with the standard form of a direct variation equation, y = kx, we can determine that the constant of proportionality is k = 8/3.
In a direct variation equation of the form y = kx, the constant of proportionality is represented by the letter "k".
In this case, the direct variation equation given is y = 2 2/3 x. The constant of proportionality is the coefficient of x, which is 2 2/3.
To simplify the constant of proportionality, convert the mixed number 2 2/3 to an improper fraction.
2 2/3 = (2 * 3 + 2) / 3 = 8/3
Therefore, the constant of proportionality is k = 8/3.
In the direct variation equation, y = kx, the constant of proportionality (k) represents the ratio between the two variables involved (y and x).
In the given equation, y = 2 2/3 x, we first need to rewrite the mixed number (2 2/3) as an improper fraction.
2 2/3 = (2 * 3 + 2) / 3 = 8/3
Therefore, the constant of proportionality (k) is 8/3.