The function N(t)=300/(1+299e^-0.36t) describes the spread of a rumor among a group 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?

AThe rate at which the rumor spreads speeds up over time.
BInitially, only one person had heard the rumor.
CIt will take approx. 14 mins for 100 people to hear the rumor.
DThere are 299 people in the enclosed space.

Question

lazyfredaAnge lazyfredaAnge

07-07-2016
Mathematics

Answered

The function N(t)=300/(1+299e^-0.36t) describes the spread of a rumor among a group 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?

AThe rate at which the rumor spreads speeds up over time.
BInitially, only one person had heard the rumor.
CIt will take approx. 14 mins for 100 people to hear the rumor.
DThere are 299 people in the enclosed space.

Verified Answer :

Related Questions

The quotient of a number and four decreased by ten is two what is the number

Sewards Folley was named after the man that or arranged for the purchase of Alaska by the United StatesA trickedB negotiatedC illegally signedD by accident

PLS HELP U GUYS

When nitrogen and tin Sn4 form an ionic compound what is the formula

Dylan looks at the temperature at 10 oclock in the morning 3 In the afternoon he looks at it again 10 By how many degrees has the temperature risen

Which of these processes is an example of hydrolysis AConversion of Glucose units into starch BConversion of Fructose and Glucose units form sucrose CConversion

1357997

Which character in Grendel is most clearly a round character A Wrolstan B Hrothgar C Beowulf D Grendel

A ball has a radius of 1 foot What is the surface area of the ball

The principle of suggests that a plant with the genotype Tt will display a tall phenotype incomplete dominance codominant dominance segregation

HomertheGenius HomertheGenius · Answer 1 · 2017-11-17T11:15:02-05:00

A ) The rate at which rumor spreads speed up over time. If t increases, also N(t) increases, because 300 is divided by the smaller number.( Correct )B ) 1 = 300 / ( 1 + 299 · e^(-0.36 · 0 ) ) 1 = 300 / ( 1 + 299 · 1 ) 1 = 300 / 3001 = 1 ( Correct )C ) 100 = 300 / ( 1 + 299 · e^(-0.36 · 14 ) )100 = 300 / ( 1 + 299 · 1/154.47 )100 = 300 / 2.93565100 ≈ 102.192 ( Correct ) - approx. 14 minutes
D ) N = 300 / ( 1 + 299 · e^(-∞) )N = 300 / ( 1 + 299 · 0 ) N = 300 / 1 = 300299 people are enclosed space ( Not correct )Answer:True statements are: A ) , B ) and C ) .