To solve for the value of v in the inverse variation equation given by p = 8/v, we first need to set p equal to the value provided, which is 4.
So, we substitute p with 4:
4 = 8/v
Next, to isolate v, we can multiply both sides of the equation by v to eliminate the fraction:
4v = 8
Now, we divide both sides by 4 to solve for v:
v = 8/4
Calculating the right side gives us:
v = 2
Therefore, when p is equal to 4, the value of v in the equation p = 8/v is 2.