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 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.
Yes, because the ratios can be simplified, and those ratios are equal.

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.
One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. Which proportion correctly describes the relative amounts of each color?(1 point)
Responses
13
Start Fraction 1 over 3 End Fraction
1545 = 3090
Start Fraction 15 over 45 End Fraction equals Start Fraction 30 over 90 End Fraction
1545 = 9030
Start Fraction 15 over 45 End Fraction equals Start Fraction 90 over 30 End Fraction
1545
Start Fraction 15 over 45 End Fraction equals Start Fraction 30 over 90 End Fraction
About 4,000 new species of marine animals were discovered in the last 2 years. What is the unit rate of discovery?(1 point)
Responses
1 species2,000 years
Start Fraction 1 species over 2,000 years End Fraction
2 years4,000 species
Start Fraction 2 years over 4,000 species End Fraction
2,000 speciesyear
Start Fraction 2 years over 4,000 species End Fraction
Mario walked 3,600 steps in 24 hours yesterday. How many steps did he walk per hour?(1 point)
steps/hour
To find the number of steps Mario walked per hour, we divide the total number of steps (3,600) by the total number of hours (24):
3,600 steps ÷ 24 hours = 150 steps/hour
Therefore, Mario walked 150 steps per hour.
The newest John Deere combine machine can harvest 180 acres of wheat in 6 hours. How many acres will be harvested in 10 hours?(1 point)
acres
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To find the number of acres that will be harvested in 10 hours, we can set up a proportion using the information given:
180 acres is harvested in 6 hours
Let x represent the number of acres harvested in 10 hours.
180 acres / 6 hours = x acres / 10 hours
To find the value of x, we can cross multiply:
6x = 180 * 10
6x = 1800
Dividing both sides by 6:
x = 300
Therefore, 300 acres will be harvested in 10 hours.
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 the two planets.
For Earth, the ratio of the model length to the actual distance is:
7 inches / 91.549 million miles = 1 inch / 13.078429 million miles
For Neptune, the ratio of the model length to the actual distance is:
19 inches / 2,780.5 million miles = 1 inch / 146.3421053 million miles
Comparing the two 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."