Question

The population P of bacteria in a culture after t minutes is given by the equation p=p0 (1.14)^t where P0 is the initail population. If the number of the bacteria starts at 400, how long will it take for he population to incfrease to 2000

Answer 1

The time taken is 4.79 minutes.

Explanation:

`P = Po(1.4)^(t)`

initial Population, Po = 400

Final population, P = 2000

Let the time is t.

`2000 = 400(1.4)^(t) \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes`