Inverse Variation

Question

The weight of a body above sea level varies inversely with the square of the distance from the center of the Earth. If a woman weight 117 pounds when she is at sea level, 3960 miles away from the center of the Earth, how much will she weigh when she is at the top of a mountain, 1.5 miles above sea level?

Answer 1

Inverse variation means wr² = k

 

117(3960)² = x(3961.5)²

1834747200/15693482.25 = x

116.91 lbs = x