Rates and Measurement Unit Test
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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
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.
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.
To determine whether the model's distances are proportional to the actual dimensions of the solar system, we need to compare the ratios of the model length to the actual distance for both planets.
First, let's calculate the ratio for Earth:
Model ratio for Earth = model distance from the sun to Earth (7 inches) / actual distance from the sun to Earth (91.549 million miles)
Next, let's calculate the ratio for Neptune:
Model ratio for Neptune = model distance from the sun to Neptune (19 inches) / actual distance from the sun to Neptune (2,780.5 million miles)
Now, let's compare the two ratios. If the ratios are equal, then the model's distances are proportional to the actual dimensions of the solar system.
So, we need to check if:
Model ratio for Earth = Model ratio for Neptune
If the answer is yes, then the correct response would be:
"Yes, because the ratios of model length to actual distance are equal for the two planets."
If the answer is no, then the correct response would be:
"No, because the ratios of model length to actual distance are different for the two planets."
Looking at the given response options, the correct answer is:
"No, because the ratios of model length to actual distance are different for the two planets."
The correct answer is: No, because the model is in inches and the actual distances are in millions of miles.
The correct response is:
No, because the model is in inches and the actual distances are in millions of miles.