Question

Find the constant of variation of the direct variation model 3x = y. (A) 3 (B) \(\frac{1}{3}\) (C) \(y\) (D) \(x\)

Short answer

(A) The constant of variation is 3.

Step-by-step solution

Write the given equation in the standard form of direct variation

The given equation is \(3x = y\). The standard form of a direct variation model is \(y = kx\). So, the first step is to write the given equation in this form: \(y = 3x\)

Identify the constant of variation

The constant of variation, denoted by \(k\), is the coefficient \(3\) in the equation \(y = 3x\). Therefore \(k = 3\) is the constant of variation.