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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
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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 ?
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