Question

S varies inversely as G. If S is 7 when G is 4.2, find S when G is 6.

Answer 1

The given information is:

-S varies inversely as G.

-When G is 4.2, S is 7.

As the varies inversely, then it can be expressed as:

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

Where k is the constant of variation.

We can find k by replacing S=7 and G=4.2:

$\begin{gathered} 7=\frac{k}{4.2} \\ k=7*4.2 \\ k=29.4 \end{gathered}$

Thus, when G is 6, we can solve for S by using the constant value k:

$\begin{gathered} S=\frac{29.4}{6} \\ S=4.9 \end{gathered}$

The answer is when G=6, then S=4.9