Question

for the inverse variation equation $p = \frac{8}{v}$, what is the value of $v$ when $p = 4$?
32
2
$\frac{1}{8}$
$\frac{1}{2}$

Explanation:

Step1: Substitute \( p = 4 \) into the equation

We have the inverse variation equation \( p=\frac{8}{V} \). Substitute \( p = 4 \) into this equation, so we get \( 4=\frac{8}{V} \).

Step2: Solve for \( V \)

To solve for \( V \), we can cross - multiply. From \( 4=\frac{8}{V} \), we have \( 4V = 8 \) (by multiplying both sides of the equation by \( V \)). Then, divide both sides of the equation \( 4V = 8 \) by 4. So \( V=\frac{8}{4}=2 \).

Answer:

2