Respuesta :

bcalle
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:

Option D

[tex]V=16[/tex]

Step-by-step explanation:

we know that

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

In this problem we have

[tex]P=8/V[/tex]

so

For [tex]P=1/2[/tex]

substitute in the equation

[tex](1/2)=8/V[/tex]

Solve for V

Multiply by [tex]2[/tex] both sides

[tex]1=\frac{16}{V}[/tex]

Multiply by [tex]V[/tex] both sides

[tex]V=16[/tex]