For the direct variation equation y= 2 2/3 x what is the constant of proportionality
The constant of proportionality in the direct variation equation y = (2 2/3)x is 2 2/3.
To find the constant of proportionality in a direct variation equation, you can compare the equation to the general form of direct variation, which is written as y = kx, where y and x are variables, and k is the constant of proportionality.
In your equation, y = 2 2/3 x, we can rewrite 2 2/3 as an improper fraction. To convert 2 2/3 to an improper fraction, multiply the whole number (2) by the denominator of the fraction (3), and then add the numerator (2):
2 * 3 = 6
6 + 2 = 8
So, 2 2/3 is equivalent to the improper fraction 8/3.
Now, we can compare your equation (y = 2 2/3 x) to the general form of direct variation (y = kx). By comparing the equations, we can see that the constant of proportionality (k) in your equation is equal to 8/3.
Therefore, the constant of proportionality in the direct variation equation y = 2 2/3 x is 8/3.
To find the constant of proportionality in a direct variation equation, you can look at the coefficient of the variable term. In this case, the coefficient of the variable term "x" is 2 2/3.
To express 2 2/3 as an improper fraction, you can multiply the whole number (2) by the denominator of the fraction (3), and then add the numerator (2).
2 * 3 = 6
6 + 2 = 8
So, 2 2/3 can be written as the improper fraction 8/3.
Thus, the constant of proportionality in the given equation y = 2 2/3 x is 8/3.