Price formula calculation for Doraemon Story of Season

I am recording a list of sell price for items that has quality to aid my gameplay since I wasn't able to find a good price guide.
I noticed that:
- Everything have a base price at lowest quality (half star) and it will be a round number that ends with at least one zero.
- Everything that has same base price will have identical price for better quality.
(Ex: both Carp and Honey Bee have base price of 40, and they have same price for other quality)
Name | 0.5⭐ | 1⭐ | 1.5⭐ | 2⭐ | 2.5⭐ | 3⭐ | 3.5⭐ | 4⭐ | 4.5⭐ | 5⭐ |
---|---|---|---|---|---|---|---|---|---|---|
Carp | 40 | 46 | 52 | 59 | 67 | 76 | 86 | 98 | 111 | 126 |
Honey Bee | 40 | 46 | 52 | 59 | 67 | 76 | 86 | 98 | 111 | 126 |
- As the quality grows, the price of the item would go up exponentially.
Base on this I concluded that there must be a formula to calculate it all given a base price.
Now, the problem is I couldn't figure out the formula for the price even though I think I have a decent amount of data. Since I have Switch Edition and not the Steam one, I can't poke around with game file either.
I was thinking about formula like this:
But it's just not quite right. I still felt like this is just more or less a high school level math problem and I forgot most of my math class.
How do I find the formula given the data?
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THE ULTIMATE TIPS HOW TO GET MILLION G MONEY PER DAY Doraemon Story of Seasons
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