Calculus instant messaging account

Question

Instant Messaging Accounts

 The number of enterprise instant messaging (IM) accounts is projected to grow according to the function

N(t) = 2.99t² + 11.32t + 59.6    (0 ≤ t ≤ 5)

where N(t) is measured in millions and t in years, with t = 0 corresponding to 2006.

(a)

How many enterprise IM accounts were there in 2006?

 million

(b)

What was the expected number of enterprise IM accounts in 2011?

 million

   

Answer 1

a) N(0) = 59.6 million. (Since 2006 corresponds to t = 0, all you have to do is evaluate N(0).)

b) N(5) = 2.99*5² + 11.32*5 + 59.6 = 190.95 million