Question

If z varies inversely as w and z=20 when w=0.7 find z when w=20

Answer 1

If z varies inversely as w, we have:

`z=k(1)/(w)`

Where k is constant

If, when z = 20, w = 0.7, we have:

`\begin{gathered} 20=k(1)/(0.7) \\ k=20\cdot0.7 \\ k=14 \end{gathered}`

Therefore, for w = 20, we have:

`\begin{gathered} z=14(1)/(20) \\ z=0.7 \end{gathered}`