Answered

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Find the constant of variation when y=6 varies directly with x=3

Sagot :

Ashraf82

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

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