For the direct variation equation y=2 2/3x , fractions what is the constant of proportionality
The constant of proportionality is the coefficient in front of the variable x in a direct variation equation. In the equation y = (2 2/3)x, the coefficient in front of x is 2 2/3 or 8/3.
Therefore, the constant of proportionality is 8/3.
To find the constant of proportionality, you will need to convert the mixed fraction into an improper fraction.
Given the direct variation equation y = 2 2/3x, where the fraction is 2/3, we first convert it into an improper fraction. To do this, multiply the whole number (2) by the denominator (3) and add the numerator (2) to get the new numerator.
2 * 3 + 2 = 6 + 2 = 8.
So the improper fraction of 2 2/3 is 8/3.
The constant of proportionality is equal to the coefficient of x in the equation, which in this case is 8/3.
Therefore, the constant of proportionality for the direct variation equation y = 2 2/3x is 8/3.
To find the constant of proportionality in a direct variation equation involving fractions, you need to remember that the constant of proportionality is the coefficient of x.
In the given equation y = 2 2/3x, notice that the coefficient of x is 2 2/3.
To convert the mixed number 2 2/3 into an improper fraction, you multiply the whole number (2) by the denominator (3) and add the numerator (2) to get the new numerator (8). So, the improper fraction equivalent of 2 2/3 is 8/3.
Therefore, the constant of proportionality in the equation y = 2 2/3x is 8/3.