Spread of a disease the spread of a highly contagious virus


Qusetion: Spread of a disease the spread of a highly contagious virus in a high school can be described by the logistic function

y = 5000/1 + 1000e-0.8x

where x is the number of days after the virus is identified in the school and y is the total number of people who are infected by the virus in the first x days.

(a) Graph the function for 0 ≤ x ≤ 15.

(b) How many students had the virus when it was first discovered?

(c) What is the total number infected by the virus during the first 15 days?

(d) In how many days will the total number infected reach 3744?

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Engineering Mathematics: Spread of a disease the spread of a highly contagious virus
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