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  • 01-12-2019
  • Mathematics
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Calculate the constant of variation if y varies directly as x. PLEASE GIVE EXPLANATION

Calculate the constant of variation if y varies directly as x PLEASE GIVE EXPLANATION class=

Respuesta :

rani01654 rani01654
  • 09-12-2019

Answer:

[tex]k = - \frac{3}{2}[/tex]

Step-by-step explanation:

If y varies directly with x, then from the relation of direct variation we can write y ∝ x

Now, converting the variation relation to equation relation,

⇒ y = kx  ........... (1) {Where k is the constant of variation}

Now, given that at y = - 3, x = 2 and this solution will satisfy the equation (1).

Hence, - 3 = 2k

⇒ [tex]k = - \frac{3}{2}[/tex] (Answer)

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