Answer:
The constant of variation is 2
Step-by-step explanation:
The equation of the direct variation is y = k x, where k is the constant of variation
Let us solve the question
∵ x and y are in the direct variation
→ Use the form of the equation above
∴ The equation of variation is y = k x
∵ x = 3
∵ y = 6
→ Substitute them in the equation above
∴ 6 = k (3)
∴ 6 = 3k
→ To find k divide both sides by 3
∵ [tex]\frac{6}{3}[/tex] = [tex]\frac{3k}{3}[/tex]
∴ 2 = k
∵ k is the constant of variation
∴ The constant of variation is 2
