Question

S varies inversely as G. If S is 7 when G is 3.6. find S when G is 6.

Answer 1

We know that S varies inversely as G.

Then we can write:

$S=\frac{k}{G}$

where k is a constant.

We know that G is 3.6 when S is 7, so we can find k as:

$\begin{gathered} S=\frac{k}{G} \\ k=S*G \\ k=7*3.6 \\ k=25.2 \end{gathered}$

We can now find S when G is 6 as:

$\begin{gathered} S=\frac{25.2}{G} \\ S=\frac{25.2}{6} \\ S=4.2 \end{gathered}$

Answer: S = 4.2 when G = 6.