SOLUTION: A single microscopic organism divides into two organisms every 3 days. Use the formula N(t) = No (2)^(t/3), where t is the time in days, N(t) is the number of organisms at t days,

Algebra ->  Probability-and-statistics -> SOLUTION: A single microscopic organism divides into two organisms every 3 days. Use the formula N(t) = No (2)^(t/3), where t is the time in days, N(t) is the number of organisms at t days,      Log On


   

Question 386568: A single microscopic organism divides into two organisms every 3 days. Use the formula N(t) = No (2)^(t/3), where t is the time in days, N(t) is the number of organisms at t days, and No is the number of organisms at t=0. Approximately how long would it take one organism to produce a population of about 10,000 organisms?
a) 1,667 days
b) 333 days
c) 126 days
d) 40 days
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




We are dealing with

Unfortunately, you didn't bother to share the value of

On the other hand, given the answers you provided, it can only be .

So, we have



Take the log of both sides (log base is immaterial to the solution -- I use ln)







The rest is just calculator work. Round to the nearest integer to get one of your answers.

John

My calculator said it, I believe it, that settles it
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