Question

for the inverse variation equation (p = \frac{8}{v}), what is the value of (v) when (p = 4)?

(\frac{1}{8})
(\frac{1}{2})
2
32

Explanation:

🆕 New Concept Discovered: Inverse Variation
One variable goes up as the other goes down.

Step 1: Substitute the given value

Substitute \( p = 4 \) into the given inverse variation equation:

$$ 4 = \frac{8}{V} $$

Step 2: Solve for V

Multiply both sides by \( V \):

$$ 4V = 8 $$

Divide both sides by \( 4 \):

$$ V = \frac{8}{4} $$

$$ V = 2 $$

Answer:

2