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valina [46]
4 years ago
10

a culture started with 4,000 bacteria. after 7 hours,it grew to 5,200 bacteria. Predict how many bacteria will be present after

9 hours
Mathematics
1 answer:
serious [3.7K]4 years ago
5 0
Start with trying to figure out rate (r):
P = i•e^rt
5200 = 4000•e^(r•7)
5200/4000 = 1.3 = e^7r
ln 1.3 = ln (e^7r)
.262 = 7r•1, because the ln (e) = 1
r = .262/7 = .0375
Now that you have the rate, plug in that for r and 9 hours as the new t, with again our 4200 as the i
P = i•e^rt = 4200•e^(.0375•9)
P = 4200•1.401 = 5,886 bacteria
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