A dorm at a college houses 1200 students. One​ day, 20 of the students become ill with the ​flu, which spreads quickly. Assume that the total number of students who have been infected after t days is given by ​N(t)equals=StartFraction 1200 Over 1 plus 18 e Superscript negative 0.65 t EndFraction12001+18e−0.65t. ​a) After how many days is the flu spreading the​ fastest? ​b) Approximately how many students per day are catching the flu on the day found in part​ (a)? ​c) How many students have been infected on the day found in part​ (a)?       Question content area bottom Part 1 ​a) The flu is spreading the fastest after enter your response here days. ​(Do not round until the final answer. Then round to two decimal places as​ needed.) Part 2 ​b) Approximately enter your response here students per day are catching the flu. ​(Round to the nearest whole number as​ needed.) Part 3 ​c) A total of enter your response here students have been infected. ​(Round to the nearest whole number as​ needed.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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A dorm at a college houses
1200
students. One​ day, 20 of the students become ill with the ​flu, which spreads quickly. Assume that the total number of students who have been infected after t days is given by
​N(t)equals=StartFraction 1200 Over 1 plus 18 e Superscript negative 0.65 t EndFraction12001+18e−0.65t.
​a) After how many days is the flu spreading the​ fastest?
​b) Approximately how many students per day are catching the flu on the day found in part​ (a)?
​c) How many students have been infected on the day found in part​ (a)?
 
 
 

Question content area bottom

Part 1
​a) The flu is spreading the fastest after
enter your response here
days.
​(Do not round until the final answer. Then round to two decimal places as​ needed.)
Part 2
​b) Approximately
enter your response here
students per day are catching the
flu.
​(Round to the nearest whole number as​ needed.)
Part 3
​c) A total of
enter your response here
students have been infected.
​(Round to the nearest whole number as​ needed.)
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