2. The number of students in a school who have heard a rumor at time t hours is modeled by the function P, the solution to a logistic differential equation. At noon, 50 of the school's 500 students have heard the rumor. Also at noon, P is increasing at a rate of 20 students per hour. Which of the following could be the logistic differential equation? dP 1 (A) dt P(500-P) 1125 dP 1 (B) dt P(500- P) 480 dP 1 (C) dt P(500 – P) 192 dP 2 (D) dt P(500- P) 45 dP (E) 5 P(500– P) dt 48

2. The number of students in a school who have heard a rumor at time t hours is modeled by the function P, the solution to a logistic differential equation. At noon, 50 of the school's 500 students have heard the rumor. Also at noon, P is increasing at a rate of 20 students per hour. Which of the following could be the logistic differential equation? dP 1 (A) dt P(500-P) 1125 dP 1 (B) dt P(500- P) 480 dP 1 (C) dt P(500 – P) 192 dP 2 (D) dt P(500- P) 45 dP (E) 5 P(500– P) dt 48

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 14EQ

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Question

Show work please its a multiple choice

2.
The number of students in a school who have heard a rumor at time t hours is modeled by the function P,
solution to a logistic differential equation. At noon, 50 of the school's 500 students have heard the rumor. Also
at noon, P is increasing at a rate of 20 students per hour. Which of the following could be the logistic differential
equation?
the
dP
(4)
1
Р(500- Р)
1125
dt
dP
(В)
1
dt
Р(500- Р)
480
dP
(C)
1
Р(500- Р)
dt
192
dP
(D)
2
-Р (500- Р)
45
dt
dP
5
(E)
dt
Р(500- Р)
48

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