The variables y varies inversely with x and y=8 when x=4 what is y when x=2?
A) 4
B) 5
C) 16
D) 24

Question

The variables y varies inversely with x and y=8 when x=4 what is y when x=2?
A) 4
B) 5
C) 16
D) 24

welshfella · Answer

Y = k x


Where k is a constant to be found

You can find k by plugging in y= 8 and x = 4 into the above formula

welshfella · Answer

- and solve for k

welshfella · Answer

Then you can get the required formula by replacing k by the value you just found.

Nex plug in x = 2 and find the required value of y.

scarlettfarra2000 · Answer

If I'm solving for k it would like something like $$y=\frac{ k }{ 4 }?$$

welshfella · Answer

Yes  sorry I misread the question 
It Inverse variation so it's y = k /  x

welshfella · Answer

So we have 8 = k /  4

scarlettfarra2000 · Answer

so the answer would end up being 16 right?

welshfella · Answer

Yes
K = 32
So y = 32 / 2 = 16

scarlettfarra2000 · Answer

thank you for your help

welshfella · Answer

Yw