for the direct variation equation y=38x what is the constant of proportionality
The constant of proportionality in the direct variation equation y = 38x is 38.
The constant of proportionality can be found by comparing the equation to the standard form of a direct variation equation: y = kx, where k represents the constant of proportionality.
In this case, the equation is y = 38x. Therefore, the constant of proportionality (k) is 38.
In the direct variation equation y = 38x, the constant of proportionality is the coefficient of x, which is 38.
To understand why 38 is the constant of proportionality, let's break down the equation.
In a direct variation equation, y and x are directly proportional, which means that as x increases or decreases, y also increases or decreases in the same proportion.
Mathematically, we can write this relationship as y = kx, where k represents the constant of proportionality. The value of k remains consistent throughout the equation.
In the given equation y = 38x, we can see that the coefficient of x is 38. This means that for every unit increase in x, y will increase by 38 units. Similarly, for every unit decrease in x, y will decrease by 38 units.
Therefore, in the equation y = 38x, the constant of proportionality is 38.