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 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.
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.
Yes, because the ratios can be simplified, and those ratios are equal.
Yes, because the ratios can be simplified, and those ratios are equal.
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 of model length to actual distance are equal for the two planets.
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.
First, let's calculate the ratios for Earth:
Ratio for Earth = (Model distance from the sun to Earth)/(Actual distance from the sun to Earth) = 7 inches / 91.549 million miles
Next, let's calculate the ratios for Neptune:
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, let's simplify these ratios:
Ratio for Earth = 7 / 91.549 million
Ratio for Neptune = 19 / 2,780.5 million
Comparing these ratios, we can see that they are not equal. Therefore, the answer is:
No, because the ratios of model length to actual distance are different for the two planets.