Algebra with science

Question

The weight of a body above sea level varies inversely with the square of the distance from the center of Earth. If a woman weighs

144

pounds when she is at sea​ level, 3960 miles from the center of​ Earth, how much will she weigh when she is at the top of a​ mountain,

3.4

miles above sea​ level?

Answer 1

w = k/d^2

144 = k/3960^2

k = 144(3960^2)

w = 144(3960^2)/3963.4^2

w = about 143.75 lbs.

she loses about 1/4 pound

plus the climb up probably burned off a lot of calories and she lost some real weight