Homework SourseThe doubling period of a baterial population is 20 minutes A
The doubling period of a baterial population is 20 minutes. At time t=110 minutes, the baterial population was 60000. With t repressenting minutes,the formula for the population is p(t)= Ae^(kt)
1) k=
2)The initiial population at t= 0 is
3) The size of the baterial population after 3 hours is
1) k=
2)The initiial population at t= 0 is
3) The size of the baterial population after 3 hours is
Solution
Let at t=o population = Po => 2 Po = A e^k/3 Po = A =>2 =e^k/3 =>k =2.079 At t= 110 60000 = A*e^(1.833*2.079) =>A =1326.89 is population at t=0 at t= 3 p= 1326.89*e^(2.079*3)=678472.91
