A bacteria culture grows according to

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

P(t)=200e^{0.03t}

, where

P

is the number of bacteria and

t

is measured in hours. Determine the average rate of change of the population over

0\le t\le10

. Give your answer to the nearest whole bacterium per hour.