Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Answer:k = ⅔ d. y = ⅔xz; y(6, 3) = 12 Step-by-step explanation:         y ∝ x and y ∝ z, so         y ∝ xz and (1)      y = kxz               Divide each side by xz         k = y/(xz)            Let x = 1, z =4, y = ⁸/₃            = (⁸/₃)/(1 × 4)            = ⁸/₃ × ¼          Cancel 4s (2)   k = ⅔                Substitute into (1)         y = ⅔xz              Let x = 6, z = 3         y = ⅔ × 6 × 3     Cancel 3s        y = 2 × 6        y = 12 y(6, 3) = 12