In Amaro the distance from the sun to Earth is seven inches and the distance from the from the sun to Neptune is 19 inches if the actual distance from the sun to Earth is ninety one point five hundred forty nine million miles and the actual distance from the sun to Neptune is 2780.5 million miles are the models distance proportional to the actual dimension of the solar system

Question

In Amaro the distance from the sun to Earth is seven inches and the distance from the from the sun to Neptune is 19 inches if the actual distance from the sun to Earth is ninety one point five hundred forty nine million miles and the actual distance from the sun to Neptune is 2780.5 million miles are the models distance proportional to the actual dimension of the solar system

Answer 1

To determine if the models' distances are proportional to the actual dimensions of the solar system, we can compare the ratios of the distances in the model to the actual distances.

Model distance from Sun to Earth: 7 inches
Actual distance from Sun to Earth: 91.549 million miles

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

Let's calculate the ratios:

Ratio for Earth:
Model distance / Actual distance = 7 inches / 91.549 million miles ≈ 7 / 91549000

Ratio for Neptune:
Model distance / Actual distance = 19 inches / 2780.5 million miles ≈ 19 / 2780500000

Now, let's compare the two ratios:

Ratio for Earth: 7 / 91549000 ≈ 7.64e-8
Ratio for Neptune: 19 / 2780500000 ≈ 6.83e-9

Since the two ratios are not approximately equal, it indicates that the model distances are not proportional to the actual dimensions of the solar system.

Answer 2

To determine whether the model's distance is proportional to the actual dimension of the solar system, we need to compare the ratios of the distances in the model to the ratios of the actual distances.

Let's convert the actual distances from miles to inches for consistency:

Actual distance from the sun to Earth: 91,549,000 miles x 63,360 inches/mile = 5,801,744,640,000 inches
Actual distance from the sun to Neptune: 2,780,500,000 miles x 63,360 inches/mile = 176,191,280,000,000 inches

Now let's compare the ratios:

Model ratio: Distance from the sun to Neptune / Distance from the sun to Earth
Model ratio: 19 inches / 7 inches = 2.71

Actual ratio: Actual distance from the sun to Neptune / Actual distance from the sun to Earth
Actual ratio: 176,191,280,000,000 inches / 5,801,744,640,000 inches ≈ 30.36

Since the model ratio (2.71) is significantly different from the actual ratio (30.36), we can conclude that the model's distance is not proportional to the actual dimension of the solar system.