Question

Suppose v varies directly as g, and v=36 when g=4. Find v when g=11.

Answer 1

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.

Answer 2

For a variable to vary directly to another is telling you to set up a proportion

v/g = v/g

36/4 = v/11

4v = 396

v = 99