Answer:
Peculiar purples would be more abundant
Step-by-step explanation:
Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd
The function representing would be
i)
for I bacteria where t is no of minutes from start.
ii)
for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.
a) Here P0 =3, time t = 60 minutes.
i) I bacteria P = ![3(4)^{5} =3072](https://tex.z-dn.net/?f=3%284%29%5E%7B5%7D%20%3D3072)
ii) II bacteria P = ![3(4)^{4} =768](https://tex.z-dn.net/?f=3%284%29%5E%7B4%7D%20%3D768)
b) Since II is multiplying more we find that I type will be more abundant.
The difference in two hours would be
![3(4)^{10}- 3(4)^{8} =2949120](https://tex.z-dn.net/?f=3%284%29%5E%7B10%7D-%203%284%29%5E%7B8%7D%20%3D2949120)
c) i)
for I bacteria where t is no of minutes from start.
ii)
for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.
d) At time 36 minutes we have t = 36
Peculiar purples would be
![i) P=3 (4)^{36/12}=192](https://tex.z-dn.net/?f=i%29%20P%3D3%20%284%29%5E%7B36%2F12%7D%3D192)
The rate may not be constant for a longer time. Hence this may not be accurate.
e) when splits into 2, we get
where P0 is initial and t = interval of time