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In an epidemic, assume that the number of people infected is a quadratic function of the number of days the epidemic has been running and

In an epidemic, assume that the number of people infected is a quadratic function of the number of days the epidemic has been running and has the formy=a(t-b)+c. If the epidemic lasts 160 days and infects 192 people at its peak, what is the value ofa? Note that no-one is infected at timet=0.

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