The number of bacteria N in a culture is given by the model
N= 250ekt
Where t is the time in hours. If N= 280 when t=10, estimate the time required for the population to double in size. Verify your estimate graphically.

Question

The number of bacteria N in a culture is given by the model 
N= 250ekt
Where t is the time in hours. If N= 280 when t=10, estimate the time required for the population to double in size. Verify your estimate graphically.

anonymous · Answer

$$N=250e ^{kt}$$ is the equation

anonymous · Answer

first you need calculate k.

to do this you need rewrite:
280=250e^(10k)

take the neperian log

ln(280/250)=10k ->>> k=0.0113328

and then calc the time to 2N= 560

560 = 280ekt ->> solving with the same manner:

t=61,16

subtractin from initial time,

final time = 61,16 -10 = 51,16

anonymous · Answer

so the answer is 51.16??

anonymous · Answer

yeah

anonymous · Answer

Thank you soo much

anonymous · Answer

click on 'Good Answer' and become a fan! =P