Question

G varies inversely with the squareof H. When H is 4, G is 0.25.Find the value of G when H is 0.3.G = [?]Round answer to the nearest tenth.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

H = 4

G = 0.25

Step 02:

inverse variation:

y = k / x

`G=(k)/(H^2)`

H = 4 and G = 0.25:

k:

`\begin{gathered} 0.25=(k)/(4^2) \\ \\ 0.25=(k)/(16) \\ \\ 16*0.25=k \\ \\ 4\text{ = k} \end{gathered}`

H = 0.3, G:

`G=(k)/(H^2)=(4)/(0.3^2)=(4)/(0.09)=44.4`

The answer is:

G = 44.4