a culture started with 1000 bacteria. after 5 hours, it grew to 1200 bacteria. predict how many bacteria will be present after 11 hours. round your number to the nearest whole number.
P= Ae^kt

PLEASE HELP ME

Question

a culture started with 1000 bacteria. after 5 hours, it grew to 1200 bacteria. predict how many bacteria will be present after 11 hours. round your number to the nearest whole number.
P= Ae^kt

PLEASE HELP ME

anonymous · Answer

P is the final population 
A is the initial population
k is the rate 
t is the time frame

anonymous · Answer

You can use this information to find the rate k of your equation.

anonymous · Answer

you can do this real real easy without the $Ae^{kt}$ business 
using only the numbers given you can solve in one step

anonymous · Answer

How do I solve it without the equation given?

anonymous · Answer

you start with $1000$ put that out front
5 hours later you have $1200$ and $1200\div 1000=1.2$ 
you want the population in 11 hours put 
$$\huge 1000\times (1.2)^{\frac{11}{5}}$$ in to your calculator

anonymous · Answer

Thank you! I got it correct :)