Homework Help is Here – Start Your Trial Now!
Math
Calculus
A rumor about canceling spring break is being spread around a school. The following equation models the number of students in the school who have heard the rumor after t days: 1800 N (t) = %3D 1+149e 0.625t A.). How many people started the rumor? B. ). How many students are in the school? C.). To the nearest 1/10, how many days will it be before the rumor spreads to 2 the student body?

A rumor about canceling spring break is being spread around a school. The following equation models the number of students in the school who have heard the rumor after t days: 1800 N (t) = %3D 1+149e 0.625t A.). How many people started the rumor? B. ). How many students are in the school? C.). To the nearest 1/10, how many days will it be before the rumor spreads to 2 the student body?

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
A rumor about canceling spring break is being spread around a school. The following equation models the number of students in the school who have heard the rumor after t days: 1800 N (t) = 1+149e 0.6254t A.). How many people started the rumor? B. ). How many students are in the school? C.). To the nearest 1/10, how many days will it be before the rumor spreads to 2 the student body? D.). The following equation represents the instantaneous rate of change in students per day of the spread of the rumor. N (t) = 0.625N (1 - 1800 | N represents the number of students who have heard the rumor and t is time in days. How many students have heard the rumor when the rumor is spreading the fastest? What is the rate of change in students per day at this time ?
Transcribed Image Text:A rumor about canceling spring break is being spread around a school. The following equation models the number of students in the school who have heard the rumor after t days: 1800 N (t) = 1+149e 0.6254t A.). How many people started the rumor? B. ). How many students are in the school? C.). To the nearest 1/10, how many days will it be before the rumor spreads to 2 the student body? D.). The following equation represents the instantaneous rate of change in students per day of the spread of the rumor. N (t) = 0.625N (1 - 1800 | N represents the number of students who have heard the rumor and t is time in days. How many students have heard the rumor when the rumor is spreading the fastest? What is the rate of change in students per day at this time ?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS