Compounding is one of the real-world examples I give to my advanced math students to motivate them when we work on exponentials. Compound interest, cell division, and radioactive decay are all examples of the power of the exponent (repeated multiplication) compared to the puny power of mere addition. In marketing, we could also liken compounding to turning on a hose versus carrying buckets.
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LOL I love it....The hose versus the buckets!