Question

x varies inversely as y , when x=15 then y=10 ,if x=20 then y=?​

Answer 1

Answer:

hope it helps....... ..

Answer 2

Answer:

Given:

x ∝ 1/√y

x = k × (1/√y) where, k is the constant of variation.

∴ x × y = k …(i)

When x = 15, y = 10

Substitute the value of x = 15 and y = 10 in (i), we get

x × y = k

15 × 10 = k

k = 150

Now, substitute the value of k = 150 back in (i), we get

x × y = k

∴ x × y = 150 … (ii)

This is the equation of variation.

When x = 20, y =?

Substitute the value of x = 20 in (ii), we get

x × y = 150

20 × y = 150

y = 15020

y = 7.5

∴ Value of y is 7.5