SOLUTION: A culture of bacteria obeys the law of uninhibited growth. If 500 bacteria are present initially and there are 800 after 1 hour, how many will be present in the culture after 5

Question 419422: A culture of bacteria obeys the law of uninhibited growth.
If 500 bacteria are present initially and there are 800 after 1 hour, how many will be present in the culture after 5 hours?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A culture of bacteria obeys the law of uninhibited growth.
If 500 bacteria are present initially and there are 800 after 1 hour,
how many will be present in the culture after 5 hours?
:
Ao*2^kt = A
where
Ao = initial amt
k = constant value
t = time in hrs
A = resulting amt
:
500*2^1k = 800
2^k =
k*ln(2) = ln(1.6)
k =
k = .678
:
how many will be present in the culture after 5 hours?
A = 500*2^(.678*5)
A = 500*2^(.678*5)
A = 500*2^3.39
A = 500*10.4857
A = 5243 present in the culture after 5 hrs
RELATED QUESTIONS
A culture of Bacteria obeys the law of uninhibited growth. if 500 bacteria are present... (answered by Boreal)

A culture of bacteria obeys the law f(t)= f(0)*e^0.47*t. If 500 bacteria are present... (answered by ankor@dixie-net.com)

A culture of bacteria obeys the law of uninhibited growth. If 140,000 are present... (answered by ankor@dixie-net.com)

The number of bacteria in a culture is increasing according to the law of exponential... (answered by ankor@dixie-net.com)

The cells in a culture of bacteria conform to uninhibited growth. Suppose there are 3,000 (answered by josgarithmetic)

In a certain culture the rate of growth of bacteria is proportional to the amount... (answered by stanbon,josgarithmetic)

A culture of bacteria doubles every 3 hours. If there are 500 bacteria at the beginning,... (answered by ikleyn,josgarithmetic)

Question Help The population of a colony of mosquitoes obeys the law of uninhibited... (answered by Theo,greenestamps)

A population of a colony of mosquitoes obeys the law of uninhibited growth. a) If N (answered by rwm)