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Verified Answer :

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

\(V=16\)

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 \(y*x=k\) 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

\(1=\frac{16}{V}\)

Multiply by \(V\) both sides

\(V=16\)