A college dormitory houses 650 students, all of whom are susceptible to a particular infectious virus. On a particular day, the infectious virus had been contracted by 15 students. 3 days later, 135 students had contracted the virus. The number of infected students grows at a rate that is jointly proportional to the current number of students who have contracted the virus and the difference between the total number of students in the dorm and the number who have contracted the virus. a. Find a function that gives the number of students who have contracted the virus at any time t. Round to 5 decimal places, if necessary. P (t) = b. Find the number of students who have contracted the virus 5 days after its initial outbreak. Round to the nearest student. P (5)
A college dormitory houses 650 students, all of whom are susceptible to a particular infectious virus. On a particular day, the infectious virus had been contracted by 15 students. 3 days later, 135 students had contracted the virus. The number of infected students grows at a rate that is jointly proportional to the current number of students who have contracted the virus and the difference between the total number of students in the dorm and the number who have contracted the virus. a. Find a function that gives the number of students who have contracted the virus at any time t. Round to 5 decimal places, if necessary. P (t) = b. Find the number of students who have contracted the virus 5 days after its initial outbreak. Round to the nearest student. P (5)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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