Question

S varies inversely as G. If S is 4 when G is 1.8, find S when G is 6.

Answer 1

Given that "S" varies inversely as "G", it is an Inverse Variation Relationship. Then, it has this form:

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

Where "k" is the Constant of Variation.

Knowing that:

$S=4$

When:

$G=1.8$

You can substitute values and solve for "k":

$\begin{gathered} 4=\frac{k}{1.8} \\ \\ (4)(1.8)=k \\ \\ k=7.2 \end{gathered}$

Then, the equation that models the situation is:

$S=\frac{7.2}{G}$

Substituting this value of "G" into the equation and evaluating:

$G=6$

You get:

$S=\frac{7.2}{6}=1.2$

Hence, the answer is:

$S=1.2$