Question

If y varies inversely as x and y = -97 when x = 28 find y if x = 36.

Answer 1

Given:

`y\alpha(1)/(x)`

Introducing a constant 'k'

`y=(k)/(x)`

Substitute y = -97, x = 28

`\begin{gathered} -97=(k)/(28) \\ \therefore k=-97*28=-2716 \end{gathered}`

Let us write out the relationship connecting y and x

`y=-(2716)/(x)`

Let us now solve for y if x = 36

`y=-(2716)/(36)=-75(4)/(9)`

Hence,

`y=-75(4)/(9)`