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A dorm at a college houses 1800 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students W have been infected after t days is given by N(t) = 1800 1+13 e -0.85t· 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)? a) The flu is spreading the fastest after days. (Do not round until the final answer. Then round to two decimal places as needed.)

A dorm at a college houses 1800 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students W have been infected after t days is given by N(t) = 1800 1+13 e -0.85t· 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)? a) The flu is spreading the fastest after days. (Do not round until the final answer. Then round to two decimal places as needed.)

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 159E: A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial...
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A dorm at a college houses 1800 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who 1800 have been infected after t days is given by N(t) = - 0.85t 1+13 e 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)? a) The flu is spreading the fastest after (Do not round until the final answer. Then round to two decimal places as needed.) days.
Transcribed Image Text:A dorm at a college houses 1800 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who 1800 have been infected after t days is given by N(t) = - 0.85t 1+13 e 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)? a) The flu is spreading the fastest after (Do not round until the final answer. Then round to two decimal places as needed.) days.
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