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=(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=(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=(25.2)/(G) \\ S=(25.2)/(6) \\ S=4.2 \end{gathered}`

Answer: S = 4.2 when G = 6.