For the direct variation equation y = 2 2/3 x a, what is the constant of proportionality? (1 point)
3
2 2/3
2
2/3
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 the equation y = 2 2/3 x a, we need to compare the ratios of y to x.
The equation given implies that the ratio of y to x is always 2 2/3 (or 8/3).
Thus, the constant of proportionality is 2 2/3 or 8/3.
To find the constant of proportionality in a direct variation equation, you can look at the equation in the form y = kx, where k represents the constant of proportionality.
In the given equation, y = 2 2/3 x a, we need to simplify it to the form y = kx.
To do this, we can rewrite 2 2/3 as an improper fraction: 2 2/3 = (2 * 3 + 2) / 3 = 8/3.
Now, the equation can be written as y = (8/3)xa.
Comparing it with the form y = kx, we can conclude that the constant of proportionality is 8/3.
So, the correct answer is 8/3.