The value of y varies directly with x. What is k the constant of variation for this function, and what is y for the given value of x?

y= -1/2 when x=6. Find y when x=-3

Can someone explain this as they solve? Because I have a lot more of them, and I'd like to do the rest on my own :)

Thanks!

Question

The value of y varies directly with x. What is k the constant of variation for this function, and what is y for the given value of x?

y= -1/2 when x=6. Find y when x=-3

Can someone explain this as they solve? Because I have a lot more of them, and I'd like to do the rest on my own :)

Thanks!

rishavraj · Answer

as it varies directly so
y = kx

rishavraj · Answer

get "k" from above equation by plugging given value of y and x

imqwerty · Answer

so y varies directly with x

y ∝ x

now removing the proportionality sign '∝' and putting constant k we get
y=kx
we know when y=-1/2 , x =6
so
-1/2 =k(6)
so k=-1/12

millsemily · Answer

And the other is 1/4 , right?

imqwerty · Answer

yea

millsemily · Answer

Thanks, wasn't as hard as I was making it xD

imqwerty · Answer

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