For the direct variation equation y=2 2/3x , what is the constant of proportionality?(1 point)
Responses
2
2/3
2 2/3
3
The constant of proportionality for the direct variation equation y = 2 2/3x is 2 2/3.
The constant of proportionality in the direct variation equation y = 2 2/3x is 2 2/3.
To find the constant of proportionality in a direct variation equation, you need to divide the value of y by the value of x. In this case, the equation is y = 2 2/3x.
To find the constant of proportionality, divide the value of y by the value of x:
Constant of proportionality = (2 2/3) / 1
To simplify the fraction, convert 2 2/3 to an improper fraction:
Constant of proportionality = (8/3) / 1
To divide fractions, multiply the numerator of the first fraction by the reciprocal of the second fraction:
Constant of proportionality = (8/3) * (1/1)
Multiply the numerators and denominators:
Constant of proportionality = 8/3
Therefore, the constant of proportionality is 8/3 or 2 2/3. So the correct answer is 2 2/3.