For the direct variation equation y=2 2/3x, what is the constant of the proportionally?
responses
2
2 2/3
2/3
3
The constant of proportionality in the direct variation equation y = 2 2/3x is 2 2/3.
The constant of proportionality in the direct variation equation y = (2 2/3)x is 2 2/3.
To determine the constant of proportionality in a direct variation equation, you will need to identify the coefficient that is multiplying the variable. In the equation y = 2 2/3x, the coefficient multiplying the x variable is 2 2/3.
To express the coefficient as a fraction, you need to convert the mixed number 2 2/3 into an improper fraction. To do this, multiply the whole number (2) by the denominator of the fraction (3) and add the numerator (2). This gives you 6, which becomes the new numerator.
Therefore, the fraction equivalent of 2 2/3 is 8/3. This means that the constant of proportionality in the given equation is 8/3.
So, the correct answer is option 2 2/3.