A culture started with 5000 bacteria. After 5 hours, it grew to 6500 bacteria. Predict how many bacteria will be present after 16 hours.
Round your answer to the nearest whole number.
P=Ae^kt

Question

A culture started with 5000 bacteria. After 5 hours, it grew to 6500 bacteria. Predict how many bacteria will be present after 16 hours. 
Round your answer to the nearest whole number.
P=Ae^kt

Narad · Answer

$$P=Ae ^{kt}$$
$$lnP=lnA+kt$$
A and k are constants
Initial conditions are t=0 and P=5000
After t=5 h ; P=6500
You obtain 2 equations with 2 unknowns
Solve the equations to get the values of A and k
To obtain the population at t=16 h, apply the first equation