For the direct variation equation y=2 2/3×, what is the constant of proportionality?
The constant of proportionality in a direct variation equation is the coefficient in the equation. In this case, the constant of proportionality is 2 2/3.
The constant of proportionality in a direct variation equation is the coefficient of the variable. In the equation y = (2 2/3)x, the coefficient of x is 2 2/3. To convert this mixed number to an improper fraction, we multiply the whole number (2) by the denominator of the fraction (3) and add the numerator (2), resulting in 6 + 2 = 8. So, the fraction part 2/3 is equal to 8/3. Therefore, the constant of proportionality is 8/3.
To find the constant of proportionality in a direct variation equation, you need to identify the coefficient of the term that is being multiplied by the variable.
In the given equation, y = (2 2/3) * x, the coefficient of x is (2 2/3).
To express the mixed number (2 2/3) as an improper fraction, you can multiply the whole number (2) by the denominator of the fraction (3), and then add the numerator (2). This gives you 6 + 2 = 8.
Therefore, the coefficient of x in the equation is 8.
Hence, the constant of proportionality in the equation is 8.