For the direct variation equation y=2 2/3x , what is the constant of proportionality?
The constant of proportionality is the coefficient of x, which is 2 2/3. However, it is important to write this coefficient as an improper fraction.
Converting 2 2/3 to an improper fraction:
2 * 3 = 6
6 + 2 = 8
Therefore, the coefficient of x can be written as 8/3.
To find the constant of proportionality in a direct variation equation, we can compare the equation to the general form of a direct variation equation: y = kx, where k is the constant of proportionality.
In the given equation, y = 2 2/3x, we observe that the coefficient of x is 2 2/3. To write this as an improper fraction, we convert the mixed fraction to an improper fraction:
2 2/3 = (2 * 3 + 2) / 3 = 8/3
Therefore, the constant of proportionality in the equation y = 2 2/3x is 8/3.
To find the constant of proportionality in a direct variation equation, we need to look at the form of the equation. In a direct variation equation, the general form is:
y = kx
where y and x are variables, and k is the constant of proportionality.
In the given equation, which is y = 2 2/3x, we can see that it is not in the standard form. However, we can rewrite 2 2/3 as a mixed fraction:
2 2/3 = 8/3
Now we can rewrite the equation in the standard form:
y = (8/3)x
From this equation, we can identify that the constant of proportionality (k) is 8/3.
Therefore, the constant of proportionality for the direct variation equation y = 2 2/3x is 8/3.