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

Answer 1

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

Answer 2

- and solve for k

Answer 3

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.

Answer 4

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

Answer 5

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

Answer 6

So we have 8 = k / 4

Answer 7

so the answer would end up being 16 right?

Answer 8

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

Answer 9

thank you for your help

Answer 10

Yw