# exponential growth

• August 19th 2007, 10:39 AM
harry
exponential growth
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?
• August 19th 2007, 10:47 AM
topsquark
Quote:

Originally Posted by harry
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
$P(10) = 6.1e^{0.0125 \cdot 10}$ billion.

The average over the ten year period is given by the mean value theorem:
$\bar{P} = \frac{1}{10 - 0}\int_0^{10}6.1e^{0.0125t} dt$ billion

-Dan