Respuesta :

Answer:

Option D - 32

Step-by-step explanation:

Given : For the inverse variation equation [tex]P=\frac{8}{V}[/tex]

To find : What is the value of V when [tex]P =\frac{1}{4}[/tex]

Solution :

Inverse variation is expressed as

[tex]y\times x=k[/tex] or [tex]y=\frac{k}{x}[/tex]

The inverse variation equation is given by [tex]P=\frac{8}{V}[/tex]

We have to find the value of V when [tex]P =\frac{1}{4}[/tex]

Substitute the value of P,

[tex]P=\frac{8}{V}[/tex]

[tex]\frac{1}{4}=\frac{8}{V}[/tex]

[tex]V=8\times 4[/tex]

[tex]V=32[/tex]

Therefore, Option D is correct.

The value of V is 32.

Answer:

V=32

Step-by-step explanation:

Given :[tex]P=\frac{8}{V}[/tex]

To Find :What is the value of V when [tex]P =\frac{1}{4}[/tex]

Solution :

[tex]P=\frac{8}{V}[/tex] ----1

We are given that [tex]P =\frac{1}{4}[/tex]

Substitute the value of P in 1

[tex]\frac{1}{4}=\frac{8}{V}[/tex]

[tex]V=32[/tex]

Hence the value of V is 32