Question

A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d P t ​ =P 0 ​ ⋅2 d t ​ , where P t P t ​ is the population after t hours, P 0 P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 14 hours, to the nearest whole number?

Answer 1

Answer:

Population of bacteria in culture after 14 hours is 285541.

Step-by-step explanation:

We are given with $P_{t} =P_{0}(2)^{\frac{d}{t}}$

Here initial population is 41000 , t=5 and d=14

Plug in these values into the formula

$P_{14} =41000(2)^{\frac{14}{5} }$

Simplify

$P_{14}= 41000(2)^{2.8}$

     =41000(6.9644)

     =285540.5847...

To the nearest whole number is 285541.