Refer to Problem. Explain why the world population function Q(t) does not satisfy an exponential growth law.
Problem
Let Q(t) denote the population of the world at time t. In 1999, the world population was 6.0 billion and increasing at 1.3% per year; in 2009, it was 6.8 billion and increasing at 1.2% per year. In which year, 1999 or 2009, was dQ/dt (the rate of growth of Q with respect to t) greater? Explain.