For the direct variation equation y=2 2/3x , what is the constant of proportionality?(1 point)

Responses

223
2 Start Fraction 2 over 3 End Fraction

2
2

3
3

23
Start Fraction 2 over 3 End Fraction

The constant of proportionality in the equation y = (2/3)x is 2/3.

To find the constant of proportionality in a direct variation equation, we need to look at the equation in the form y=kx, where k represents the constant of proportionality. In the given equation y=2 2/3x, we can rewrite it as y=8/3x by converting the mixed number 2 2/3 to an improper fraction.

Comparing this equation to the standard form y=kx, we can see that the constant of proportionality is k=8/3 or, in simplified form, 2 2/3.

Therefore, the correct answer is "Start Fraction 2 over 3 End Fraction".

The constant of proportionality for the direct variation equation y=2 2/3x is 2 2/3 or Start Fraction 2 over 3 End Fraction.