A certain culture initially has 25 bacteria and is observed

.A certain culture initially has 25 bacteria and is observed to double every 5 hours. Find an exponential model n b) Estimate the number of bacteria after 18 hours. c) After how many hours will the bacteria count reach 2 million. a) t) -no2/a for theumber of bacter the culture after t hours NoOTE:ti had a r 5. For each value of t, find its (i) reference number, (ii) terminal point, and) sint, cost, and tant. 13r (a) t= (b) t=-11 (b) t=-- (c) t=

Solution

4.a .Here n₀=25 and a=5

So the required expression is n(t)=25(2)^t/5

b. n(18)= 25(2)^18/5 = 303

c . 2000000=25(2)^t/5

80000=2^t/5

log(80000)/log 2=t/5

t=81.4 hours