2. Exponential Growth
In a certain country the number of jobs created is
proportional to the number of people who already
have jobs. If there are 15 million people who have jobs
at time t = 0, and 15.1 million people with jobs 3
months later, how many jobs will exist in two years?
3. Exponential Growth
f(t) = number of people with jobs at time t months
f’(t) = k f(t) for some constant t
Given f(0) = 15, then f(t) = 15ekt
Given f(3) = 15.1, then k = 0.002215
At 24 months, f(24) = 15.8 million jobs
4. Population Problem
A certain population of critters C(t) increases at a rate
directly proportional to 2000 – C(t) when t > 0.
If C(0) = 1800, find C(t) in terms of t and a constant k.
If C(5) = 1750, find C(20)
