It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. v

Question

Scott Cunningham

Mathematics

19 December, 17:47

It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. v

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Answers (2)

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Elliott Stafford · Answer 1

Y and x are variables

Our problem gives us that y=10 when x=3

We want to know what y is when x=7

y=kx is the formula for direct variationk is the constant of variation Plug our known values, y=10 and x=3

, into the formulaDivide by 3 on both sidesk, the constant of variation, is 5Plug which is y

Sergio Tyler · Answer 2

Y varies directly as x means

y=kx

k is the constant of variation

10=k3

10=3k

divie both sides by 3

10/3=k

y = (10/3) x

the constant of variation is 10/3