Question

the weight of astronauts on earth varies directly with their weighton the moon a person weighing 185 pounds only weighs 29.6 pounds on the moon. to th nearest pound, how much would a person weighing 26.1 pound on the moom weigh on earth

Answer 1

To find the Earth weight of a person who weighs 26.1 pounds on the Moon, we use a proportion based on the known weights of another person on Earth and the Moon. By cross-multiplying and solving the equation, we find that the person would weigh approximately 164 pounds on Earth.

Step-by-step explanation:

The question involves understanding the concept of direct variation between weights on the Earth and the Moon due to the difference in acceleration due to gravity on these celestial bodies. To determine a person's weight on Earth when given their weight on the Moon, we use the ratio obtained from a known comparison. If a person weighing 185 pounds on Earth weighs 29.6 pounds on the Moon, we can write the following proportion to find the Earth weight (E) for a person weighing 26.1 pounds on the Moon (M):

185 / 29.6 = E / 26.1

By cross-multiplying, we find:

185 × 26.1 = 29.6 × E

E = (185 × 26.1) / 29.6 ≈ 163.51

To the nearest pound, the person would weigh about 164 pounds on Earth.