For the direct variation equation y=2 2/3x, what is the constant of proportionality?(1 point)
Responses
2/3
3
2
2 2/3
The constant of proportionality in the direct variation equation y = (2 2/3)x is 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 a direct variation equation, you need to divide the coefficient of the variable on one side of the equation by the coefficient of the variable on the other side.
In the given equation, the coefficient of x is 2 2/3.
To convert the mixed fraction 2 2/3 to an improper fraction, multiply the whole number (2) by the denominator (3) and add the numerator (2), then put the result over the denominator. In this case, 2 2/3 becomes (2 * 3 + 2) / 3 = 8/3.
So, the coefficient of x is 8/3.
On the other side of the equation, there is no variable y. Since y does not have a coefficient, it is understood to be 1.
Now, divide the coefficient of x (8/3) by the coefficient of y (1) to find the constant of proportionality.
8/3 รท 1 = 8/3.
Therefore, the constant of proportionality in the direct variation equation y = 2 2/3x is 8/3.