The function http://i.imgur.com/RjFTKE7.png 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?

Initially, only one person had heard the rumor.

There are 300 people in the enclosed space.

It will take 30 minutes for 100 people to hear the rumor.

The rate at which the rumor spreads changes over time.

Question

The function http://i.imgur.com/RjFTKE7.png  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?

        Initially, only one person had heard the rumor.

        There are 300 people in the enclosed space.

        It will take 30 minutes for 100 people to hear the rumor.

        The rate at which the rumor spreads changes over time.

anonymous · Answer

So what is N(0) the initial time?

anonymous · Answer

What is the lim t->infinity of N(t)?

anonymous · Answer

What is N(30)?

anonymous · Answer

What is the derivative of N(t)?