If y varies directly with x, and if y = 10 when x = 2, how do you find the direct variation equation?

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Answer 1 · 2016-06-22T11:21:48

Variation Eqn. is #y=5x.#

We know that #y prop x.#

#:. y=kx............(1), # where #k# is the constant of variation & #k!=0.#

Now to determine #k#, we use the given cond. that when #x=2, y=10#. Let us submit these resp. values in (1) to get, #10=2k,# or, #k=5.#

Letting #k=5# in (1), we get the Variation Eqn. as #y=5x.#

Answer 2 · 2016-06-22T11:25:25

The direct variation equation is #y=5x#

#y prop x :. y = k*x ; y=10;# when #x=2 :. 10= k *2 or k =5# (k is constant of variation). Hence the variation equation is #y=5x#[Ans]