A certain strain of bacteria will divide itself from 1 to 2 every to [minute]. As a result, its population can be modeled as N (t) = No25. ---eq 1) N(t) is the population at time t, NO is the population at the beginning = 100, t = time you wait [minute]. You prepare 6 dishes. Each dish contains 100 living bacteria at the beginning. Then you wait for 20 mins, freeze the first dish to stop the bacteria in the dish from growing. Then wait for another 20 mins, freeze the second dish (i.e. the total growth time for the second dish is 40 min). Proceed to the next dish in the similar process until all 6 dishes are done. After counting all the dish, you collect the data between time and population as follow:

A certain strain of bacteria will divide itself from 1 to 2 every to [minute]. As a result, its population can be modeled as N (t) = No25. ---eq 1) N(t) is the population at time t, NO is the population at the beginning = 100, t = time you wait [minute]. You prepare 6 dishes. Each dish contains 100 living bacteria at the beginning. Then you wait for 20 mins, freeze the first dish to stop the bacteria in the dish from growing. Then wait for another 20 mins, freeze the second dish (i.e. the total growth time for the second dish is 40 min). Proceed to the next dish in the similar process until all 6 dishes are done. After counting all the dish, you collect the data between time and population as follow:

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.

Question

A certain strain of bacteria will divide itself from 1 to 2 every to [minute].
As a result, its population can be modeled as
N (t) = No2. ---(eq 1)
N(t) is the population at time t, NO is the population at the beginning = 100, t = time you wait [minute].
You prepare 6 dishes. Each dish contains 100 living bacteria at the beginning.
Then you wait for 20 mins, freeze the first dish to stop the bacteria in the dish from growing.
Then wait for another 20 mins, freeze the second dish (i.e. the total growth time for the second dish is 40 min). Proceed to the next dish in the similar process until
all 6 dishes are done.
After counting all the dish, you collect the data between time and population as follow:
t(min)
N(t)
20
132
220
40
60
311
80
369
100
622
120
836
Find to (the time for bacteria to divide itself). Answer in [min]
Note: if you apply log function on both sides of eq 1 you get
In (N (t)) =t. n2
+ In(No).
---(eq 2)

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