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| ww2.math.buffalo.edu rk2/2018 0 MTH141,Casper/Section 3.8/3/?user-kashitqu&effectiveUser-kashifqu;&key; ufBW Bzti8uXvZcfGpz60 DFF NU webwork/2018 0 mth141 casper section 3.8/3 k Sets 3.8 em 3 Section 3.8: Problem 3 Prev Up Next (1 pt) Assume that the number of bacteria follows an exponential growth model: P(t)- Poe was 500 after 10 minutes and 1000 after 30 minutes. The count in the bactoria culture blems (a) What was the initial size of the cuture? (b) Find the population after 95 minutes. (c) How many minutes after the start of the experiment will the population reach 13000 y Options tions as: Note: You can earn partial credit on this problem.Explanation / Answer
P(t)=P0ekt
500=P0e10k
1000=P0e30k
Solving the above two equations, we get
a. Initial size, P0= 354 , k=0.035
b .P(95)=354e0.035(95)=9514
c .13000=354e0.035t
t=72 mins
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