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Mathematics 11 Online
OpenStudy (anonymous):

Planet Average Surface Temperature (K) Average Orbital Velocity (km/s) Mercury 440 47.87 Venus 737 35.00 Earth 288 29.78 Mars 208 24.13 Jupiter 163 13.07 Saturn 133 9.69 Uranus 78 6.81 Neptune 73 5.43 Use the data table above to describe the relationship between average surface temperature and average orbital velocity (how fast they orbit) of the planets of our solar system. Use numerical data from the table to support your answer.

OpenStudy (anonymous):

I'm sorry, this graph is much easier to understand: Planet Average Surface Temperature (K) Average Orbital Velocity (km/s) Mercury 440 47.87 Venus 737 35.00 Earth 288 29.78 Mars 208 24.13 Jupiter 163 13.07 Saturn 133 9.69 Uranus 78 6.81 Neptune 73 5.43

OpenStudy (anonymous):

increasing temperature correlates in increasing orbital velocity

OpenStudy (anonymous):

Okay, but how numerically?

OpenStudy (anonymous):

what do you mean how numerically? :/

OpenStudy (anonymous):

Well it says "provide numerical data from the table to support your evidence"? aha

OpenStudy (wolf1728):

Planet Temp (K) Orbital Velocity (km/s) Mercury 440 47.87 Venus 737 35 Earth 288 29.78 Mars 208 24.13 Jupiter 163 13.07 Saturn 133 9.69 Uranus 78 6.81 Neptune 73 5.43 This seems a little bit better

OpenStudy (anonymous):

Yeah, much better. I'm too lazy for that ;)

OpenStudy (wolf1728):

I like to try messing around with that sort of thing.

OpenStudy (anonymous):

@alias Do you understand what it means? Because I don't..

OpenStudy (wolf1728):

I imagine they want a formula to show some relationship between temperature and orbital velocity

OpenStudy (wolf1728):

It's just a coincidence that orbital velocity corresponds to temperature. (Obviously the slower a planet travels, the colder it will be.)

OpenStudy (anonymous):

Ohh okay. Do you know how to get it? I'm terrible at both Math and Science. Language and History are my better subjects :D

OpenStudy (anonymous):

I don't think you're supposed to come up with functions and things like that. They're just asking for a qualitative statement

OpenStudy (wolf1728):

I'd imagine it is impossible to get an exact formula. Basically there is an inverse relationship between temp and orbital velocity temp α 1/orbital velocity (the α is the Greek lower case alpha)

OpenStudy (anonymous):

and @AshB haha, I'm hopeless in Language and History

OpenStudy (anonymous):

I mean, you can input the data in excel and get the slope, and by that say that since the slope is positive, the two is directly proportional

OpenStudy (wolf1728):

quick inverse relationship definition: an increase in one thing produces a decrease in another example: the more you weigh, the slower you will run.

OpenStudy (anonymous):

but I believe by "numerical data," the question just ask for your observation (no function is needed). So just say that according to the data from the table, there is evidence suggesting that surface temperature and orbital velocity is proportional

OpenStudy (anonymous):

Tbh, what you two are saying almost seems like a foreign language hahah. I promise I'm not as dumb as I sound ;D but is there anyway I could get a really easy way to find it out or just get the answer?

OpenStudy (anonymous):

it's not inversely proportional... just proportional. Because inversely proportional would mean that as one increases, the other decreases (not true in problem)

OpenStudy (wolf1728):

No wait - it IS proportional ---- SORRY !!!

OpenStudy (wolf1728):

I'm deleting my previous comment

OpenStudy (wolf1728):

and to rewrite my equation temp α orbital velocity temperature is proportional to orbital velocity

OpenStudy (anonymous):

So the answer would just be 'Temperature is proportional to orbital velocity'?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

Oh, okay. Thank you both a lot for your help :)

OpenStudy (anonymous):

and you could compare some planets with each other, and use that as examples for "numerical data"

OpenStudy (anonymous):

Okay, what would be an example of that?

OpenStudy (wolf1728):

I just made a graph:

OpenStudy (anonymous):

Oh, okay! Thanks, this helps a lot

OpenStudy (wolf1728):

I neatened the graph up just a bit:

OpenStudy (anonymous):

Nice! Thanks again

OpenStudy (wolf1728):

u r welcome oh and it is a DIRECT RELATIONSHIP between temp and orbital velocity (still can't believe how I messed that up earlier)

OpenStudy (wolf1728):

and the correct formula is: temp α orbital velocity

OpenStudy (anonymous):

I came to the same conclusion for this question for someone else, noting a fairly constant ratio Temp/vel

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