To determine if the model distances are proportional to the actual dimensions of the solar system, we need to compare the ratios of the model distances to the actual distances for both Earth and Neptune.
The ratio for Earth would be:
Model distance for Earth / Actual distance for Earth = 7 inches / 91.549 million miles.
The ratio for Neptune would be:
Model distance for Neptune / Actual distance for Neptune = 19 inches / 2,780.5 million miles.
Now we can simplify these ratios:
Model distance for Earth / Actual distance for Earth = 7 inches / 91.549 million miles = 7/91.549 * 1/1 million = 0.0000764 inches per mile.
Model distance for Neptune / Actual distance for Neptune = 19 inches / 2,780.5 million miles = 19/2,780.5 * 1/1 million = 0.00000683 inches per mile.
Comparing these ratios, we can see that the ratio for the model distance to the actual distance is different for Earth and Neptune. Therefore, the model distances are not proportional to the actual dimensions of the solar system.
In a model the dish from the Sun to earth is 7 inches and the distance from the sun to Neptune is 19 inches. If the actual distance from the sun to earth is 91.549 million miles and the actual distance from the sun to Neptune is 2,780.5 million miles, are the models distances proportional to the actual dimensions of the solar system
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