This one weird trick will get you infinite gold - Dan Finkel
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-What would the magic do to 17 coins? To 23? To 30?
-Is it possible to end up with any number of coins after applying the magic once? For example, if I want the bag to hold exactly 47 coins, is there a number I can put in first that will end up with 47 coming out?
-Can you write a formula or description for how the magic behaves?
-What if the bag quadrupled the coins when you applied it three times. Could you find what would happen to 13 coins in this case? Does this situation generalize?
For more on the basics of functions, check out this video from Khan Academy.

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