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Melissa is drawing a mural of the Earth and Moon. She is using a scale where 2 feet equals 100,000 kilometers. The distance between the Earth and the Moon on her mural is 7 1/4 feet. What is the actual distance between the Moon and the Earth as represented by the mural?

A. 175,000 kilometers
B. 181,250 kilometers
C. 362,500 kilometers
D. 1,450,000 kilometers

Answer :

Answer:

C. 362,500 km

Step-by-step explanation:

2 ft = 100,000 km

so,

1 ft = 2 ft/2 = 100,000 km/2 = 50,000 km

the distance Earth - Moon on the mural is 7 1/4 ft.

that is

7 1/4 × 1 ft

and so that makes the real distance

7 1/4 × 50,000 km = 7.25 × 50,000 = 362,500 km

the real distance between the Earth and the Moon is about

384,400 km.

so, Melissa's model is not fully correct, but close enough.

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Rewritten by : Barada