In a model, the distance 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 model’s distances proportional to the actual dimensions of the solar system?(1 point) Responses No, because the model is in inches and the actual distances are in millions of miles. No, because the model is in inches and the actual distances are in millions of miles. No, because the ratios of model length to actual distance are different for the two planets. No, because the ratios of model length to actual distance are different for the two planets. Yes, because the ratios of model length to actual distance are equal for the two planets. Yes, because the ratios of model length to actual distance are equal for the two planets. Yes, because the ratios can be simplified, and those ratios are equal

Question

In a model, the distance 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 model’s distances proportional to the actual dimensions of the solar system?(1 point) Responses No, because the model is in inches and the actual distances are in millions of miles. No, because the model is in inches and the actual distances are in millions of miles. No, because the ratios of model length to actual distance are different for the two planets. No, because the ratios of model length to actual distance are different for the two planets. Yes, because the ratios of model length to actual distance are equal for the two planets. Yes, because the ratios of model length to actual distance are equal for the two planets. Yes, because the ratios can be simplified, and those ratios are equal

Answer 1

No, because the ratios of model length to actual distance are different for the two planets.

Answer 2

No, because the model is in inches and the actual distances are in millions of miles. No, because the ratios of model length to actual distance are different for the two planets.

Answer 3

To determine if the model's distances are proportional to the actual dimensions of the solar system, we need to compare the ratios of the model lengths to the actual distances for both Earth and Neptune.

Given:
Model distance from the sun to Earth = 7 inches
Model distance from the sun to Neptune = 19 inches

Actual distance from the sun to Earth = 91.549 million miles
Actual distance from the sun to Neptune = 2,780.5 million miles

Let's calculate the ratios for each planet:

Ratio for Earth = Model distance from the sun to Earth / Actual distance from the sun to Earth
= 7 inches / 91.549 million miles

Ratio for Neptune = Model distance from the sun to Neptune / Actual distance from the sun to Neptune
= 19 inches / 2,780.5 million miles

Now compare the ratios:

If the ratios are equal, then the model's distances are proportional to the actual dimensions of the solar system.

If the ratios are not equal, then the model's distances are not proportional to the actual dimensions of the solar system.

You can perform the calculations to determine if the ratios are equal or not, and choose the appropriate response.