Posted by Anonymous on Friday, December 28, 2012 at 6:41am.
A bacteria culture has an initial population of 600. After 4 hours the population has grown to 1200. Assuming the culture grows at a rate proportional to the size of the population, find the function representing the population size after t hours and determine the size of the population after 8 hours.

maths plse help me..  Reiny, Friday, December 28, 2012 at 8:34am
Use
amount = a e^(kt) where a is the initial value, k is a constant, and t is in hours
1200 = 600 e^(k(4)
2 = e^(4k)
4k = ln 2
k = ln2 /4
amount = 600 e^((ln2/4)t)
when t=8
amount = 600 e^(2ln2)
= 2400
well, duh
Since the doubling period seems to be 4 hours
in 8 hours they would have doubled twice
600 > 1200 > 2400
Answer This Question
Related Questions
 math  A bacteria culture starts with 260 bacteria and grows at a rate ...
 CALCULUS  a bacteria culture grows with a constant per capita growth rate. ...
 Calculus (math)  A bacteria culture grows with constant relative growth rate. ...
 Urgent math  The initial size of a culture of bacteria is 1000. After one hour ...
 calculus  The population of a culture of bacteria, P(t), where t is time in ...
 Urgent math  population growth model. Can anybody please help me out in trying...
 Calculus AB  The rate of growth dP/dt of a population of bacteria is ...
 Calculus  A bacteria culture contains 200 cells initially and grows at a rate ...
 Calc  The number of bacteria in a culture is increasing according to the law of...
 calculus  The count in a bacteria culture was 600 after 10 minutes and 1100 ...
More Related Questions