Question

The number of bacteria in a sample is increasing according to an exponential model. After four hours, the sample contained 800 bacteria. After twelve hours, the sample contained 3,200 bacteria. Write an exponential growth model for the number of bacteria in the sample after 3 hours. O P(x) (44) 400 e - O P (2) 400 e () Im O P(2) = 200 e(+4)2 O P(x) 800 e (464) In (4.1) O P(2) = 400 e

Answer 1

Answer: 18 sir let the exponential function for bartenal growth P(x) = po e where P(x) = Number of bacteria after a was r= constant x= Humber of his Po= Initial no. of bactena if Population at azo Cinen when x=4, p=goo P(u)=800= Poxeur when x=12, P=3200 elar P(12) - 3200 - Poxel Poe 12r=3200 -(2) Divialing (2) by (1) 12r 3200 ur Poe 12r-ur 11 е e -u Applying for on both sides orine =lny

1 : = lnu Iny Putting in w ух)ич Poxe Коо %2 nut 800 = po e Р. - Ко е Коо Жоо Р (e"} } (ч). So - чо о 2. С So, Р(х) - Чоо е ( * ) І. First option