During an experiment, the growth rate of a bacteria colony is recorded. It is found that, to a good approximation, the

During an experiment, the growth rate of a bacteria colony is recorded. It is found that, to a good approximation, the growth rate of the number of bacteria in the colony is given by

\(R=\sqrt{N}(2000-(20-T)^2),\)

where \(R\) is the growth rate in millions per hour, \(N\) is the number of bacteria, in millions, at the beginning of the experiment, and \(T\) is the time, in minutes, that had passed since the beginning of the experiment. The experiment is \(1\) hour long, so \(T\) varies between zero and \(60.\) What is the maximum growth rate of the bacteria colony recorded during the experiment?

A. \(400\sqrt{N}\) millions of bacteria per hour
B. \(\sqrt{N}\) millions of bacteria per hour
C. \(2000\) millions of bacteria per hour
D. \(2000\sqrt{N}\) millions of bacteria per hour
E. \(1600\) millions of bacteria per hour

OA D