Eric Nicholas K's answer to Katherine Toh's Junior College 2 H2 Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
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Something like this would be good for the workings.

The model appears to be a good fit to model a real life situation (imagine the current virus sitiation in real life, where the number of cases start low, suddenly springs up within several days/weeks and the rate of increase eventually slows down after several more weeks) but only in the short run, until such time when vaccines for the disease come.