For the direct variation equation y = 2 2/3x, what is the constant of proportionality
responses:
2 2/3
2/3
3
2
The constant of proportionality in the direct variation equation y = 2 2/3x is 2 2/3 or 8/3.
The constant of proportionality in the direct variation equation y = 2 2/3x is 2 2/3.
To find the constant of proportionality in a direct variation equation, you need to compare the variables in the equation. In this case, the given equation is y = 2 2/3x.
The constant of proportionality is the coefficient of x, which is the number that is multiplying with x. In this equation, the coefficient of x is 2 2/3.
To simplify this value, you can convert the mixed number 2 2/3 to an improper fraction. Multiply the whole number (2) by the denominator (3), and add the numerator (2). Then, write the sum over the denominator.
2 * 3 + 2 = 6 + 2 = 8
8/3
Therefore, the constant of proportionality in the given direct variation equation is 8/3 or 2 2/3.