If the Rate, R, at Which People Get Sick During $r=500 t e^{-0.5 t}$

question 177

Multiple Choice

If the rate, r, at which people get sick during an epidemic of flu is approximately $r=500 t e^{-0.5 t}$ , where r is people per day and t is time in days since the start of the epidemic, then the total number of people who get sick is 2000.How does the total number of people getting sick change if the exponent is tripled and the rate is now $q=500 t e^{-1.5 t}$ ?

• A)The number is one-third as large..
• B)The number is one-ninth as large.
• C)The number is three times as large.
• D)The number is nine times as large.

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