Variation math question?

Question

if y varies inversely varies as x y=5 x=2 find y when x=20

Iggy Rocko · Answer

y = k/x for some k
5 = k/2
k = 10

y = 10/20 = 1/2

? · Answer

y ∝ 1/x

so, y = k/x

Then, 5 = k/2

Hence, k = 10

Therefore, y = 10/x

With x = 20, we have y = 10/20 = 1/2

:)>

? · Answer

If y varies inversely with x, it means y = k/x or xy = k. 
If y varies inversely as x y = 5 x = 2 
find y when x = 20

alex · Answer

Rule
if y varies inversely varies as x
then
y = k/x , with constant k≠0

? · Answer

> y varies inversely varies as x
TRANSLATION:  y = (1/k) x.............[1]

// First, solve for k
When y = 5, x = 2 ⇒
..........5 = (1/k)(2)
..........5k = 2
..........k = 2/5

So equation is y =  (1/(2/5)) x ⇒
..............................y = (5/2) x

When x = 20, y = (5/2)(20) ⇒
......................y = 50..........................ANS