Answer :
The weight of a 137-lb person on the Moon is 27.4 lb.
The weight of an object on the Moon is proportional to its weight on Earth.
To find the weight of a 137-lb person on the Moon, we can use the concept of direct variation.
Step 1: Set up the direct variation equation.
Let W represent the weight on the Moon and E represent the weight on Earth.
The direct variation equation can be written in the form as:
W = kE
where k is the constant of variation.
Step 2: Find the constant of variation.
To find the constant of variation, we can use the given information that a person who weighs 155 lb on Earth weighs 31 lb on the Moon.
Substituting these values into the equation:
31 = k * 155
Step 3: Solving for the constant of variation.
To solve for k, divide both sides of the equation by 155:
k = 31 / 155
Step 4: Calculate the weight on the Moon.
Now that we have the constant of variation, we can find the weight of a 137-lb person on the Moon.
Substitute the values into the equation:
W = (31 / 155) * 137
Step 5: Simplify the expression.
Multiply the constant of variation by 137:
W = 31 * 137 / 155
Step 6: Calculate the weight on the Moon.
Evaluate the expression to find the weight on the Moon:
W ≈ 27.4 lb
Therefore, a 137-lb person would weigh approximately 27.4 lb on the Moon.
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