SOLUTION: Bacteria X has a relative growth rate of 220 % (under ideal conditions). Some bacteria X are accidentally introduced into some egg salad. Three hours after contamination, there wer

Question 166095: Bacteria X has a relative growth rate of 220 % (under ideal conditions). Some bacteria X are accidentally introduced into some egg salad. Three hours after contamination, there were 45,000 bacteria X in the egg salad.
Find the initial number of bacteria X introduced into the egg salad:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bacteria X has a relative growth rate of 220 % (under ideal conditions). Some bacteria X are accidentally introduced into some egg salad. Three hours after contamination, there were 45,000 bacteria X in the egg salad.
Find the initial number of bacteria X introduced into the egg salad:
--------------------------
Question: Do you mean 220% per hour?
A(t) = Ao(2.2)^t, where t is the number of hours.
-------------------
45000 = Ao(2.2)^3
Ao = 45000/2.2^3
Ao = 4226. 14
Rounding down:
Ao = 4226
====================
Cheers,
Stan H.
RELATED QUESTIONS
I need help in solving this problem, I tried it out but it isnt giving me the right... (answered by jorel1380)

Bacteria X has a growth rate of 160 % per hour. Some amount of bacteria X are... (answered by ankor@dixie-net.com)

Bacteria usually reproduce by a process known as binary fission. In this type of... (answered by josgarithmetic)

Under Ideal conditions some bacteria can divide and doubles their numbers in less than... (answered by lynnlo)

There are approximately 18000 bacteria in a culture, and the bacteria have a relative... (answered by Alan3354)

A population of bacteria originates with 2500 bacteria. After a harmful substance is... (answered by Shin123)

Under ideal conditions, a population of rabbits has an exponential growth rate of 11.7%... (answered by jim_thompson5910)

Bacteria were introduced to a petri dish. Two hours after the introduction, there were... (answered by rothauserc)