For the direct variation equation y=2 2/3x, what is the constant of proportionality
2
2 2/3
3
2/3
The constant of proportionality in the direct variation equation y = 2 2/3x is 2 2/3.
The constant of proportionality in a direct variation equation is the coefficient of the independent variable. In this case, the equation is y = 2 2/3x. The coefficient of x is 2 2/3, so the constant of proportionality is 2 2/3. Therefore, the answer is 2 2/3.
To find the constant of proportionality in a direct variation equation, we need to compare the variables in the equation. In this case, the direct variation equation is y = (2 2/3)x.
The constant of proportionality is the coefficient of x, which is the number that is multiplied by x. In this equation, the coefficient of x is 2 2/3.
To express 2 2/3 as a fraction, we need to convert the mixed number to an improper fraction. The improper fraction representation of 2 2/3 is (3 × 2 + 2) / 3, which equals 8/3.
Therefore, the constant of proportionality in the direct variation equation y = (2 2/3)x is 8/3.