For direct variation equation Y=2 2/3 what is the constant proportionality
In a direct variation equation, the constant of proportionality is the coefficient of x. However, in the equation Y = 2 2/3, there is no x variable present. This means that there is no constant proportionality for this equation.
In a direct variation equation, the constant of proportionality represents the relationship between the variables. To find the constant of proportionality in the equation Y = 2 2/3, we can rewrite the equation in the slope-intercept form, y = mx + b, where m is the constant of proportionality.
To rewrite Y = 2 2/3, we can simplify the mixed number 2 2/3 to an improper fraction:
2 2/3 = (2 * 3 + 2) / 3 = 8/3
Now, our equation becomes Y = 8/3.
Comparing this to the slope-intercept form y = mx + b, we see that the constant of proportionality (m) is 8/3. Therefore, the constant of proportionality in the equation Y = 2 2/3 is 8/3.
To determine the constant proportionality in a direct variation equation, you need to express the equation in the form of Y = kX, where Y and X are variables and k is the constant of variation.
In the given equation, Y = 2 2/3, we first need to convert the fraction into a decimal. 2/3 is equal to approximately 0.6667.
Now we can rewrite the equation as Y = (8/3)X.
Comparing this equation with the standard form Y = kX, we can see that the constant of proportionality, k, is equal to 8/3.