In a lab experiment, 2200 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 6 hours. How many bacteria would there be after 13 hours, to the nearest whole number?

2 answers

number = 2200 (2)^(13/6) = 9877.666025
or 9878 to the nearest whole number
start at noon
double at 6 pm
double at 12 midnight
at 1 am you breed another hour how much in that hour would lead to twice as much in 6 hours
x^6 = 2
6 log x= log 2
log x = (1/6) log 2 = 0.05017
x = 1.1225
so
2200 * 2 * 2 * 1.1225 = 9878