Question

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

Answer 1

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?

Answer 2

1/5

Answer 3

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

Answer 4

no im just confused

Answer 5

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

Answer 6

5

Answer 7

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

Answer 8

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?

Answer 9

x=100

Answer 10

Thanks

Answer 11

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