For the direct variation equation y = 2 2/3, what is the constant of proportionality
responses:
2 2/3
2/3
3
2
The direct variation equation y = 2 2/3 can be simplified to y = 8/3.
In a direct variation equation of the form y = kx, where k is the constant of proportionality, we can see that k = 8/3.
Hence, the constant of proportionality for the given equation is 8/3.
In a direct variation equation of the form y = kx, the constant of proportionality is represented by the variable k. However, in the equation y = 2 2/3, the constant value is 2 2/3. Therefore, the constant of proportionality for this direct variation equation is 2 2/3.
To find the constant of proportionality in a direct variation equation, we need to rewrite the equation in the form y = kx, where k is the constant of proportionality.
The given direct variation equation is y = 2 2/3.
To write this equation in the form y = kx, first, we must convert the mixed number to an improper fraction.
2 2/3 can be written as an improper fraction as (2 * 3 + 2)/3 = 8/3.
Now, our equation becomes y = 8/3.
Comparing this with the general form y = kx, we can see that the constant of proportionality, k, is 8/3.
Therefore, the constant of proportionality in the given equation y = 2 2/3 is 8/3.