Question

For the inverse variation equation P=8/V, what is the value of V when P = 1/2?

A) 1/16
B) 1/4
C) 4
D) 16

Answer 1

p = 8/v
1/2 = 8/v
multiply v on both sides
1/2 v = 8
multiply 2/1 on both sides (the reciprocal of (1/2)
v = 16
Letter D

Answer 2

Option D

`V=16`

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

In this problem we have

`P=8/V`

so

For
`P=1/2`

substitute in the equation

`(1/2)=8/V`

Solve for V

Multiply by
`2` both sides

`1=(16)/(V)`

Multiply by
`V` both sides

`V=16`