Question

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?

a. The rate at which the rumor spreads speeds up over time.
b. Initially, only one person had heard the rumor.
c. It will take approx. 14 mins for 100 people to hear the rumor.
d. There are 299 people in the enclosed space.

Answer 1

Thank you!

Answer 2

Anytime sir!

Answer 3

@FutureMathProfessor please explain the equation.

Answer 4

a. The rate at which the rumor spreads speeds up over time. b. Initially, only one person had heard the rumor. c. It will take approx. 14 mins for 100 people to hear the rumor. d. There are 299 people in the enclosed space.

A: Obviously true
B: Set t=0 and your result is 1
C: Set t=14 and your answer will be close to 100
D: Not at all true

Answer 5

Thanks.

Answer 6

Should be b & c actually.