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The function describes the spread of a rumor among a group of people in an enclosed space. N represents the number of people who have heard the rumor, and t is measured in minutes since the rumor was started. Which of the following statements are true?Check all that apply.A.There are 299 people in the enclosed space.B.The rumor spreads at a constant rate of 0.36 people per minute.C.It will take approximately 14 minutes for 100 people to hear the rumor.D.Initially, only one person had heard the rumor.

The function describes the spread of a rumor among a group of people in an enclosed space N represents the number of people who have heard the rumor and t is me class=

Respuesta :

we have the function

[tex]N(t)=\frac{300}{1+299e^{-0.36t}}[/tex]

Verify each option

Option A ----> is not true

For t=0 ------> N(t)=1

Option B ----> is not true

Option C ---> is true

For t=14 min

[tex]\begin{gathered} N(t)=\frac{300}{1+299e^{-0.36(14)}} \\ \\ N(t)=102 \end{gathered}[/tex]

Option D -----> is true

therefore

The answer is option C and option D

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