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) $$W ( h ) = m \left( \frac { 4000 } { 4000 + h } \right) ^ { 2 }$$ . 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) 164.77 pounds
B) 165.23 pounds
C) 165 pounds
D) 7.72 pounds

Question

Quizplus · Accepted Answer

First, convert the height from feet to miles by dividing 14,494 feet by 5,280 feet per mile, which gives approximately 2.7447 miles. Then, substitute m = 165 pounds and h = 2.7447 miles into the given formula: $W(h) = 165 \left( \frac{4000}{4000 + 2.7447} \right)^2$. Calculating this gives a weight of approximately 164.77 pounds.

Solve the Problem W(h)=m(40004000+h)2W ( h ) = m \left( \frac { 4000 } { 4000 + h } \right) ^ { 2 }W(h)=m(4000+h4000​)2

Solve the Problem $W ( h ) = m \left( \frac { 4000 } { 4000 + h } \right) ^ { 2 }$