A project with some math questions just need to know how to do them

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The discussion revolves around solving mathematical problems related to planetary distances and orbital periods. Participants suggest using graphing to model the data and reference Kepler's Laws for further insights. There is confusion about the relationship between distance and period, specifically regarding which variable should be on the x-axis and y-axis. Ultimately, the original poster resolves their confusion by using a calculator and indicates they no longer need assistance. The thread highlights the importance of understanding mathematical modeling in astronomy.
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ok i have a few long problems that are part of project i just need to know how to go about solving them i don't expect anyone to do it for me but here it is



Distance(AU)|0.39 | 0.72 | 1.00 | 1.49 | 5.19 | 9.51 |19.1 | 30.0 | 39.3
Period(days) | 88 | 225 | 365 | 687 | 4344 | 10775 |30681 |60267 | 90582
^^
that is suposed to be a table

a - state whether in data is quadratic,cubi or quartic. Write the equation that best models the data. State the R squared value.



b - When a planet is 15(AU) from the sun, what is its approximate orbit period?



c - If a planet has an orbit period of 69,000 days, what is its approximate distance from the sun?


all the questions are like that but if anyone can tell me how to do this one i should be fine; thanks alot
 
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a) Draw a graph!

b) Look up Kepler's Laws! Or use the properties you found in (a)!

c) See (b).
 
so would the slope be distance of period and no y intercept?
 
I don't understand the question.
 
me either that's why i posted it

but would distance be x and period be y?
 
No, I meant I don't understand your question:

so would the slope be distance of period and no y intercept?

As to your new question:

but would distance be x and period be y?

the answer is "yes!"
 
i figured it out i had to use the calculator i don't need anyhelp anymore thanks though
 

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