The value of y varies directly with x. If y=80 when x is 16, what is x when y is 500? WILL GIVE MEDAl

Question

miracrown · Answer

If we know that y varies directly with x, it has to be a function like y=k*x
and we need to find k. We're told that y=80 when x=16
if we plug those into our equation we get 80=16*k
and we can solve that equation to find k

What do you get?

anonymous · Answer

1/5

miracrown · Answer

So you're telling me that, 16 x 1/5 = 80?

anonymous · Answer

no im just confused

miracrown · Answer

16 multiplied by a number = 80
What is that ''number''?

anonymous · Answer

5

miracrown · Answer

That's right! Good job! 
k=5 indeed so our function is y=5x

miracrown · Answer

And if we want to know the value of x when y=500
We need to solve this equation: 500 = 5x
So what's our answer?

anonymous · Answer

x=100

anonymous · Answer

Thanks

miracrown · Answer

You're right x = 100 , good work! 
And you're most welcome :)