SOLUTION: in a bacterial culture, the number b of bacteria present is modeled by b=15000e^0.3t, where t represents times in hours since 12:00 noon.
a. how many bacteria will be present at
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Question 459368: in a bacterial culture, the number b of bacteria present is modeled by b=15000e^0.3t, where t represents times in hours since 12:00 noon.
a. how many bacteria will be present at 5:00pm ?
b. how long will it take for there to be over 120000 bacteria?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
in a bacterial culture, the number b of bacteria present is modeled by b=15000e^0.3t, where t represents times in hours since 12:00 noon.
a. how many bacteria will be present at 5:00pm ?
since 5pm is 5 hours after noon:
t = 5
b=15000e^(0.3*5)
b=15000e^1.5
b = 67225.3
.
b. how long will it take for there to be over 120000 bacteria?
set b to 120000 and solve for t
120000=15000e^0.3t
120=15e^0.3t
8 = e^0.3t
ln(8)= 0.3t
ln(8)/0.3 = t
6.93 hours = t
OR at
6:56 PM
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