The rate, r, at which people get sick during an epidemic of the flu can be approximated by r = 1600te^ (-0.5t), where r is measured in people/day and t is measured in days since the start of the epidemic.

(a) When are people getting sick the fastest?

(b) How many people get sick altogether?,

Question

Mathematics

Sherlock

5 April, 03:00

The rate, r, at which people get sick during an epidemic of the flu can be approximated by r = 1600te^ (-0.5t), where r is measured in people/day and t is measured in days since the start of the epidemic.

(a) When are people getting sick the fastest?

(b) How many people get sick altogether?,

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Answers (1)

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Litzy Mclaughlin · Answer 1

When people are getting sick the fastest, the rate (r) is at its maximum. This will happen at half of the total time (t) because exponential has a negative term. The total number of people that get sick would be (r) divided by total time (t), and this will be greater than 1600.

The rate, r, at which people get sick during an epidemic of the flu can be approximated by r = 1600te^ (-0.5t), where r is measured in people/day and t is measured in days since the start of the epidemic.(a) When are people getting sick the fastest?(b) How many people get sick altogether?,

The rate, r, at which people get sick during an epidemic of the flu can be approximated by r = 1600te^ (-0.5t), where r is measured in people/day and t is measured in days since the start of the epidemic.

(a) When are people getting sick the fastest?

(b) How many people get sick altogether?,