Question

If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.

Answer 1

y = 6

Explanation:

If x varies inversely proportional as y.

`x=(k)/(y)`, k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

`y=(k)/(x)\\\\y=(30)/(5)\\\\y=6`

So, the value of y is 6 when x is 5.