A colony of bacteria with an initial population of 8000

pogonofor9z

pogonofor9z

Answered question

2022-01-20

A colony of bacteria with an initial population of 8000 decays over time t (in hours) at a rate of 15% per hour.
a).Use the growth rate to write an exponential function to model the decay.
b). How long does it take for the population to be cut in half?

Answer & Explanation

temzej9

temzej9

Beginner2022-01-20Added 30 answers

Solution:
P0=8000
Rate(γ)=15100=0,15
Time=t
a) Then P=8000e0,15t * (Exponential form for decay P=P0eγt))
b) when P=4000 (half)
then 4000=8000eγt (using *)
onsolvgt=4×6209812
t=4×62 hours (approx)

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