Answer:
V=16
Explanation:
We are given that an inverse variation
![p=(8)/(V)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s7w2g88132envowrp1yzw9c2tfvnntt2j9.png)
We have to find the value of V when p=1/2
To find the value of V we will substitute the value of p
Substitute the value of p
Then, we get
![(1)/(2)=(8)/(V)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pv9hs07m4o06ljrc5ho126poo02811wpha.png)
![(V)/(2)=8](https://img.qammunity.org/2021/formulas/mathematics/high-school/wji58b4kqaxo4wlgvutol92e5xk0sczod6.png)
Using multiplication property of equality
![V=8* 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/z9dlh6qeltll58tln4ihvmh4auoujpup5b.png)
Using multiplication property of equality
![V=16](https://img.qammunity.org/2021/formulas/mathematics/high-school/y0b5g1v3rbz04qrsi7v0i4lflssat8z2cl.png)
Hence, the value of V=16