Option D - 32
Step-by-step explanation:
Given : For the inverse variation equation ![P=\frac{8}{V}](/tpl/images/0237/0724/cdb6b.png)
To find : What is the value of V when ![P =\frac{1}{4}](/tpl/images/0237/0724/15c2b.png)
Solution :
Inverse variation is expressed as
or ![y=\frac{k}{x}](/tpl/images/0237/0724/2bb46.png)
The inverse variation equation is given by ![P=\frac{8}{V}](/tpl/images/0237/0724/cdb6b.png)
We have to find the value of V when ![P =\frac{1}{4}](/tpl/images/0237/0724/15c2b.png)
Substitute the value of P,
![P=\frac{8}{V}](/tpl/images/0237/0724/cdb6b.png)
![\frac{1}{4}=\frac{8}{V}](/tpl/images/0237/0724/c0ae2.png)
![V=8\times 4](/tpl/images/0237/0724/b1d6c.png)
![V=32](/tpl/images/0237/0724/9dbfb.png)
Therefore, Option D is correct.
The value of V is 32.