# Variation math question?

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

### 5 Answers

Relevance

- Wayne DeguManLv 72 months ago
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

:)>

- KrishnamurthyLv 72 months ago
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

- What do you think of the answers? You can sign in to give your opinion on the answer.
- ?Lv 72 months ago
> 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

Still have questions? Get answers by asking now.