Question

Assume y varies inversely as x, if y=-5 when x=9, how do you find y when x=6?

Answer 1

`y = - 7 1/2`

Explanation:

Here `y prop 1/x`

or `y = k. 1/x` ...........(i) put y = -5 & x = 9, we get

`rArr -5 = k. 1/9`

`rArr k = - 45`

Now put the value of k = -45 and x = 6 in (i), we get

`rArr y = - 45. 1/6`

`rArr y = - 7 1/2`