Question

If z varies directly with q and inversely with m, and z=2 when q=3 and m-4, find q when z=5 and m=7

Answer 1

\[z = \frac{qk}{m}\]
Find k.
\[2 = \frac{3(k)}{4}\]
\[k = \frac83\]

Answer 2

\[z = \frac83 \times \frac qm\]
\[5 = \frac83 \times \frac q7\]Solve for q and get it's value.

Answer 3

q=13.13