Answer:
[tex]v=99[/tex]
Step-by-step explanation:
We have been given that that v varies directly as g.
We can represent this information in an equation as:
[tex]v=kg[/tex]
First of all, we will find constant of variation (k) by substituting [tex]v=36[/tex] and [tex]g=4[/tex] in our given equation.
[tex]36=k\cdot 4[/tex]
[tex]\frac{36}{4}=\frac{k\cdot 4}{4}[/tex]
[tex]9=k[/tex]
So our equation would be [tex]v=9g[/tex].
Now, we will substitute [tex]g=11[/tex] in the given equation:
[tex]v=9\times 11[/tex]
[tex]v=99[/tex]
Therefore, the value of v is 99.
