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Ipatiy [6.2K]
4 years ago
9

Algebra help needed!!

Mathematics
1 answer:
Leni [432]4 years ago
6 0
The population triples ( P × 3 ) every ten minutes...

So if ten minutes is reached there will be 1,200 bacteria.

Edited - missed the question
** The units for time should be in minutes.

P = 400 × 3^(t/10)

at t = 0 ; P = 400
at t = 10 ; P = 1,200

When P = 600
600 = 400 × 3^(t/10)
6/4 = 3^(t/10)
Log(3/2) = Log(3^(t/10))
power rule
Log(3/2) = (t/10) Log(3)
10 × Log(3/2)/Log(3) = t

3.69 minutes the population will be at 600 bacteria
Unites for time are in minutes.
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