For the direct variation equation y=2 2/3x , fractions is the constant of proportionality?
2
3
2 2/3
2/3
The constant of proportionality in the direct variation equation y = kx is represented by k. In this case, the equation is y = 2 2/3x. So, the constant of proportionality is 2 2/3, which is equal to 8/3. Therefore, the correct answer is 2 2/3.
In the direct variation equation y = kx, where k is the constant of proportionality, the fraction in the equation y = 2 2/3x represents the constant of proportionality. Therefore, the correct answer is 2 2/3.
To find the constant of proportionality in the direct variation equation y = 2 2/3x, we can compare it to the general form of a direct variation equation: y = kx, where k represents the constant of proportionality.
In the given equation, we have y = 2 2/3x. To obtain the constant of proportionality, we can rewrite the fraction 2 2/3 as an improper fraction. To do this, we multiply the whole number 2 by the denominator 3 (2 * 3 = 6) and then add the numerator 2 (6 + 2 = 8). So, 2 2/3 as an improper fraction is 8/3.
Therefore, in the direct variation equation y = 2 2/3x, the constant of proportionality is 8/3, which is the same as the fraction 2 2/3.