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anonymous
 5 years ago
The count in a bateria culture was 800 after 15 minutes and 1600 after 40 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Find the doubling period. ?
Find the population after 65 minutes. ?
When will the population reach 1400?
anonymous
 5 years ago
The count in a bateria culture was 800 after 15 minutes and 1600 after 40 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. ? Find the population after 65 minutes. ? When will the population reach 1400?

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L
 5 years ago
Best ResponseYou've already chosen the best response.1f1: 800 = B(0) * 2^(15k) f2: 1600 = B(0) * 2^(40k) Then f1/f2 f1/f2 = 800/1600 = 2^(25k) > 2^(1) = 2^(25k) > k = 1/25 doubling period > 1/k = 25 mins Initial size 800 = B(0) * 2^(15/25) > B(0) = 800 / 2^(15/25) ~ 528 After 65 minutes f1: 800 = B(0) * 2^(15/25) f3: B(65) = B(0) * 2^(65/25) f3/f1 = B(65)/800 = 2^(2) = 4 B(65) = 800 * 4 = 3200 Population 1400, what the time is: f1: 800 = B(0) * 2^(15/25) f4: 1400 = B(0) * 2^(t/25) f4/f1 = 1400/800 = 2^((t15)25) 1.75 = 2^((t15)25) > log_2(1.75) = (t15)/25 . log_2(2) > (t15) / 25 = log_2(1.75) > (t15) / 25 ~ 0,807354922 > t ~ 25 * 0,807354922 + 15 > t ~ 35,18387305 *

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0yeah i get same answers except i used "e"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when will pop reach 1400? the answer was 118.232075424

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but everything else was correct:) thanks

L
 5 years ago
Best ResponseYou've already chosen the best response.1The answer is t ~ 35,18387305 mins *

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0118??? pop is 1600 when t=40
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