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,
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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) (Show Source): You can put this solution on YOUR website!
\ =\ N_o\,\cdot\,2^{\frac{t}{3}})
We are dealing with \ =\ 10,000)
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
}{N_o}\ =\ 10,000)
Take the log of both sides (log base is immaterial to the solution -- I use ln)
\ =\ \ln(10,000))
\ =\ \ln(10,000))
}{\ln\left(2\right)})
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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