For the direct variation equation y = 2 2/3x, what is the constant of proportionality?
A 2
B 2 2/3
C 2/3
D 3
The direct variation equation is in the form y = kx, where k is the constant of proportionality. In this case, the equation is y = 2 2/3x, which can be rewritten as y = (8/3)x.
Comparing the equation to the standard form y = kx, we can see that the constant of proportionality is k = 8/3, which is answer choice B.
To find the constant of proportionality in a direct variation equation, we need to look at the coefficient of the independent variable (x).
In the equation y = 2 2/3x, the coefficient of x is 2 2/3.
Simplifying 2 2/3, we can write it as an improper fraction:
2 2/3 = (3 * 2 + 2) / 3 = 8/3
Therefore, the constant of proportionality in this equation is 8/3.
So, the correct answer is C) 2/3.
To find the constant of proportionality in a direct variation equation, we need to compare the two variables in the equation.
In the given equation, y = 2 2/3x, we can see that y is directly proportional to x. The constant of proportionality represents the factor by which y changes when x changes.
By comparing the equation to the standard form of a direct variation equation y = kx, we can see that k, the constant of proportionality, is equal to 2 2/3.
Therefore, the correct answer is B) 2 2/3.