The Population P of a Bacteria Culture Is Modeled By P

Multiple Choice

The population P of a bacteria culture is modeled by $P = 4100 e ^ { k t }$ ,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.

A) 54.8 hours
B) 8.9 hours
C) 79.9 hours
D) 81.7 hours
E) 56.6 hours