Question

For the inverse variation equation P equals eight divided by V, what is the value of V when P equals 1/2?

A. 4
B. 8
C. 16
D. 32

Answer 1

When the inverse variation equation P = 8/V is used and P equals 1/2, the value of V is calculated to be 16.

Step-by-step explanation:

The inverse variation equation given is P equals eight divided by V, or simply P = 8/V. To find the value of V when P equals 1/2, you begin by substituting P with 1/2 in the equation, leading to 1/2 = 8/V. You then multiply both sides by V to get V/2 = 8, and finally, you multiply both sides by 2 to solve for V, resulting in V = 16. Therefore, the value of V when P equals 1/2 is 16, which corresponds to option C.