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)
Unit 5 lesson 12 ( Rates and Measurement unit test) (6th grade) GET 100% ON YOUR TEST!!!
1, C. No, because the ratios of model length to actual distance are different for the two planets.
2. B, 1/3
3. D, 2,000 species per year
4. 150 steps/hour
5. 300 acres
6. $ 50/room
7. C, 168 miles
8. 25 finches
9. C, one kilometer
10. B, kilogram
11. A, 123.2 pounds
12. D, 3.2 liters
13. C, 82 feet
14. D, 90.72 liters per minute
so sorry I can't give the answer to 15. You can get in trouble from coping because, its one of those dang show your work things. -_- but I hope this helps!!
p.s. DONT SNICH!!!
@#Dogmama the 2nd one is actually 15/45 = 30/90 and on number 6 its 40 not 50 and on number 14 its 1.5 liters, other than that all the answers were right
I think they updated the test some of your answers are there but it's in a diffrent order and now it's 14 questions.
not very helpfull@oobleck
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 distances to the ratios of the actual distances.
First, let's calculate the ratio of the model distance from the sun to Earth to the model distance from the sun to Neptune:
Model ratio = Distance from the sun to Earth / Distance from the sun to Neptune
= 7 inches / 19 inches
Next, let's calculate the ratio of the actual distance from the sun to Earth to the actual distance from the sun to Neptune:
Actual ratio = Distance from the sun to Earth / Distance from the sun to Neptune
= 91.549 million miles / 2,780.5 million miles
Now, let's compare these two ratios:
If the model's distances are proportional to the actual dimensions of the solar system, then the model ratio and the actual ratio should be equal.
So, set up an equation and solve for the comparison:
Model ratio = Actual ratio
7 inches / 19 inches = 91.549 million miles / 2,780.5 million miles
To compare these ratios, we need to make sure they have the same units. Considering that inches and miles are different units of measurement, we need to convert them to the same unit. One option is to convert inches to miles.
To convert inches to miles, we need to know the conversion factor. There are 12 inches in 1 foot, and there are 5,280 feet in 1 mile.
So, 7 inches can be converted to miles as follows:
7 inches * (1 foot / 12 inches) * (1 mile / 5,280 feet) = X miles
Using the same logic, we can convert the actual distances in million miles to miles.
Now, plug in the converted values and solve the equation:
X miles / 19 inches = 91.549 million miles / 2,780.5 million miles
After solving the equation, if both sides are equal, then the model's distances are proportional to the actual dimensions of the solar system. If they are not equal, then the model's distances are not proportional to the actual dimensions.