Question

Assume that y varies inversely with x. If y=7 when x=2/3, find y when x=7/3

Answer 1

When y varies inversely with x, we have
`y= (k)/(x)`

We first find the value of k

When y = 7 and x = 2/3, then


`y= (k)/(x)`

`7= (k)/( (2)/(3) )`

`7( (2)/(3))=k`

`k= (14)/(3)`

Now we have k = 14/3, we can work out y when x = 7/3


`y= (k)/(x)`

`y= (14/3)/(7/3)`

`y= (14)/(7)`

`y=2`