Question

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

Answer 1

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

Answer 2

`v=99`

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`

`(36)/(4)=(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* 11`

`v=99`

Therefore, the value of v is 99.