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