Solve. -A Single Bacterium Divides Every 0.5 Hour to Produce Two

Multiple Choice

Solve.
-A single bacterium divides every 0.5 hour to produce two complete bacteria. If we start with a colony of 6000 bacteria, after t hours there will be A(t) = 6000 · 2^2t = 6000 · 4^t bacteria. Find A'(t) and A'(1) .

A) A'(t) = 6000(ln 4) 4^t; A'(1) = 33,271 bacteria
B) A'(t) = 6000(ln 2) 2^t; A'(1) = 8317 bacteria
C) A'(t) = 6000(ln 4) 2^t; A'(1) = 16,635 bacteria
D) A'(t) = 6000(ln 2) 4^t; A'(1) = 16,635 bacteria