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if y varies directly with x and y = -12 when x = 6 find x when y = -4 A -2 B 3 C -3 D 2

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Answer:

D

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 12 when x = 6, thus

- 12 = 6k ( divide both sides by 6 )

- 2 = k

y = - 2x ← equation of variation

When y = - 4, then

- 4 = - 2x ( divide both sides by - 2 )

2 = x → D

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