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"If Earth were the size of a basketball, how big would the Moon be? How far away would it be? A. The Moon would be the size of a grapefruit and would be about 5 feet away. B. The Moon would be about the size of a tennis ball and would be 30 feet away. C. The Moon would be the size of a golf ball and would be about 5 feet away. D. The Moon would be the size of a basketball and would be about 20 feet away."
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Answer

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Step 1
: First, we need to find the scaled size of the Moon when Earth is compared to a basketball.

diameter of the Moondiameter of a grapefruit=diameter of Earthdiameter of a basketball\frac{\text{diameter of the Moon}}{\text{diameter of a grapefruit}} = \frac{\text{diameter of Earth}}{\text{diameter of a basketball}}
A standard basketball has a diameter of about 9.55 inches (24.26 cm) and a grapefruit has a diameter of about 4.5 inches (11.43 cm). We can find the ratio of the diameters:

Step 2
: Solve for the Moon's diameter:

diameter of the Moon=diameter of Earth×diameter of a grapefruitdiameter of a basketball\text{diameter of the Moon} = \frac{\text{diameter of Earth} \times \text{diameter of a grapefruit}}{\text{diameter of a basketball}}

Final Answer

The Moon would be about the size of a tennis ball and would be 30 feet away.

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