The population of the world t years after 2000 is predicted to be
P = 6.1e^0.0125t billion:
What is the population in 2010?
What is the predicted average population btwn 2000 - 2010?
The population in the year 2010 will be
$\displaystyle P(10) = 6.1e^{0.0125 \cdot 10}$ billion.
The average over the ten year period is given by the mean value theorem:
$\displaystyle \bar{P} = \frac{1}{10 - 0}\int_0^{10}6.1e^{0.0125t} dt$ billion