Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metres on his scale model. The real distance from the Sun to Jupiter is 7.8 * 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n, where n is written in standard form.

Question

Baron

Mathematics

17 May, 01:54

Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metres on his scale model. The real distance from the Sun to Jupiter is 7.8 * 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n, where n is written in standard form.

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Answers (1)

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Aidan Wong · Answer 1

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.