For the direct variation equation y=3x, what is the constant of proportionality?
The constant of proportionality in the direct variation equation y=3x is 3.
For the direct variation equation y = 3x, the constant of proportionality is 3.
In the direct variation equation y = 3x, the constant of proportionality is the coefficient in front of the variable x, which in this case is 3. To understand how we arrived at this answer, let me explain it step by step.
In a direct variation equation, the relationship between two variables (in this case, y and x) can be represented by the equation y = kx, where k is the constant of proportionality.
To find the constant of proportionality, you need to analyze the equation and identify the coefficient of x. In this case, the coefficient of x is 3. Therefore, the constant of proportionality is 3.
So, in the equation y = 3x, the number 3 represents the constant of proportionality, indicating that y is directly proportional to x.