In a model the distance from the sun to the Earth is 7 inches in the distance from the sun to Neptune is 19 inches is the actual distance from the sun to the Earth is 19.549 million miles and the actual distance from sun to Neptune is 2780.5 million miles are the models distance to spell proportional to the actual dimensions of the solar system?

Question

In a model the distance from the sun to the Earth is 7 inches in the distance from the sun to Neptune is 19 inches is the actual distance from the sun to the Earth is 19.549 million miles and the actual distance from sun to Neptune is 2780.5 million miles are the models distance to spell proportional to the actual dimensions of the solar system?

Answer 1

To determine if the model's distance is 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.

For Earth:
Model distance from the Sun to Earth = 7 inches
Actual distance from the Sun to Earth = 19.549 million miles

For Neptune:
Model distance from the Sun to Neptune = 19 inches
Actual distance from the Sun to Neptune = 2780.5 million miles

To find the ratios, we divide the model distance by the actual distance for each:

Earth:
Model ratio = 7 inches / 19.549 million miles
= 0.000000358 inches per mile

Neptune:
Model ratio = 19 inches / 2780.5 million miles
= 0.000006836 inches per mile

Comparing these ratios to the actual dimensions of the solar system, we can see that both ratios are extremely small. Therefore, the model's distance is not proportional to the actual dimensions of the solar system.