Question

According to the laws of physics, the weights of objects on the Earth are proportional to their weights on the Moon. A boy who weighs 66 lb on Earth weighs 10.92 lb on the Moon. How much will a man who weighs 185 lb on Earth weigh on the Moon? Round your answer to the nearest tenth.

Answer 1

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let y represent the weight of object on earth and x represent the weight of object on the moon.

y ∝ x

y = kx

When y = 66, x = 10.92, hence:

66 = 10.92k

k = 6

When y = 185 lb:

185 = 6x

x = 30.8 lb

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

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