Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k = [tex]\frac{y}{x}[/tex]
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points [except point (0, 0)] to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k = [tex]\frac{y}{x}[/tex]
→ Substitute the values of x and y in the relation above
∴ k = [tex]\frac{2}{-1}[/tex]
∴ k = -2
The constant of variation is k = -2
