Answered

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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:

Equation: N (t) = 1800/1+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 ½ the student body?

D.). The following equation represents the instantaneous rate of change in students per day of the spread of the rumor.

Another Equation: N^1 (t)=0.625N (1- N/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 ?

Sagot :

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