SOLUTION: NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours. a) A function that models the number of bacteria after t hours is p

Question 277248: NEED HELP ASAP PLEASE!!
A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours.
a) A function that models the number of bacteria after t hours is p(t)=____________?
b) The number of bacteria present after 5 hours will be about _____ ?
c) The population will reach 22000 after approximately ________ hours.
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
NEED HELP ASAP PLEASE!!
A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours.
a) A function that models the number of bacteria after t hours is p(t)=____________?
b) The number of bacteria present after 5 hours will be about _____ ?
c) The population will reach 22000 after approximately ________ hours.
a) p(t) = 2000*2^(t/3)
b) p(5) = 2000*2^(5/3) = 2000*(2^5)^(1/3)
c) 22000 = 2000*2^(t/3)
Calculate b) 2000*cube root of 32
Solve c for t: 2^(t/3) = 22000/2000
2^(t/3) = 11
log 2^(t/3) = log 11
t/3*log 2 = log 11
t/3 = log 11/log 2
t = 3*(log 11/log 2)
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