Question

A bacteria culture contains 1200 bacteria initially and doubles every hour.(a) find a function n that models the number of bacteria after t hours.n(t) = 2t+1200 (b) find the number of bacteria after 24 hours. bacteria

Answer 1

a) if the bacteria double every hour then it would 2^t(1200) where t is hours and 1200 is the amount in there to begin with. b) assuming the formula is correct it would be 2^24(1200). this becomes 20132659200 total in a day.