You and your friends started industrial training in one of Megah Holding's branch last month. A rumor about the company giving 3 months bonus spreads among 400 employees. 10 employees have heard about it at 9 am and 100 employees at 12 pm. Let y(t) be the fraction of employees who have heard about it t hours after 9 am. (a) Write the differential equation for y(t) and find the solution. (b) How many employees would have heard about the rumor at 3pm?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
You and your friends started industrial training in one of Megah Holding's branch last
month. A rumor about the company giving 3 months bonus spreads among 400
employees. 10 employees have heard about it at 9 am and 100 employees at 12 pm. Let
y(t) be the fraction of employees who have heard about it t hours after 9 am.
(a) Write the differential equation for y(t) and find the solution.
(b)
How many employees would have heard about the rumor at 3pm?
Transcribed Image Text:You and your friends started industrial training in one of Megah Holding's branch last month. A rumor about the company giving 3 months bonus spreads among 400 employees. 10 employees have heard about it at 9 am and 100 employees at 12 pm. Let y(t) be the fraction of employees who have heard about it t hours after 9 am. (a) Write the differential equation for y(t) and find the solution. (b) How many employees would have heard about the rumor at 3pm?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning