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Yeast is often used in biological experiments. A research technician estimates t

ID: 3018390 • Letter: Y

Question

Yeast is often used in biological experiments. A research technician estimates that a sample of yeast suspension contains 3 million organisms per cubic observation, measured inr hours. Assueste thate t he y est growth folo the aw o Uonlioited Groer c. Let r be the time elapsed sirice the first he yeast growth follows the Law of Uninhibited Growth . Find a function which gives the number What is the doubling time for this strain of yeast? Round to 2 decimal (in milions per cc N(t) after t hours N(t) = hours

Explanation / Answer

N(t) =N0ekt

a. 56 = 3 e 2k

ln(56/3)=2k

k=1.4634

b. N(t) = 3 e1.4634t

c. 6=3 e1.4634t

ln 2 =1.4634t

t=0.47hours