Question

If z varies inversely as w, and z=6 when w=5, find z when w=10

Answer 1

To find z we must find the constant of proportionality A with the data they give us:

`\begin{gathered} w=(A)/(z) \\ \end{gathered}`
`\begin{gathered} w=5 \\ z=6 \\ A=w\cdot z \\ A=5\cdot6 \\ A=30 \end{gathered}`

Now with the calculation of the constant we can find z when w = 10.

`\begin{gathered} z=(A)/(w) \\ z=(30)/(10) \\ z=3 \end{gathered}`