Solve the Problem $m$ Pounds at Sea Level, Then Its Weight $W$

Multiple Choice

Solve the problem.
-If an object weighs $m$ pounds at sea level, then its weight $W$ (in pounds) at a height of $h$ miles above sea level is given approximately by $W ( h ) = m \left( \frac { 4000 } { 4000 + h } \right) ^ { 2 }$ . How much will a man who weighs 165 pounds at sea level weigh on the top of a mountain which is 14,494 feet above sea level? Round to the nearest hundredth of a pound, if necessary.

A) 165 pounds
B) $164.77$ pounds
C) $7.72$ pounds
D) $165.23$ pounds