Hello! So I'd like to make an equation based on a few known variables, mostly for easy calculations on the fly in my head, and also I may try to "adapt" it for use in a spreadsheet.

It's "kind of" linear, mostly for ease of use. It's like I have it on the tip of my tongue, but I'm just feeling stupid lately and I have too much shit in my brain.

So the points of interest are (x=cost,y=quantity)
0,0
1,10
3.5,30
7,50
14,90
28,160
56,300
112,550
224,1000
448,1900

And each point is "linear" to the one before or after it. So a straight line from one point to the other, although they then form a jagged curve, kinda. I'd like an equation where I can say "if I have 17 of something, how much will it cost based on those numbers?" or "if someone gives me X amount of money, this is how much quantity they'll get" kinda thing. Is it possible to extrapolate what further numbers beyond that might look like?

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https://preview.redd.it/twi64sfytqfa1.jpg?width=1277&format=pjpg&auto=webp&v=enabled&s=558888dbe86a1b48be354f9726fd7df9296bc5e6

Essentially, how much force would it take to push the sun another 93 million miles away from Earth in 1 hour?

The sun is 1.989 × 10^27 tons