Algebra I - Task One

Bacteria: Staphylococcus Aureus

Growth Rate: x4  (The bacteria divides in 2 every half hour, so it would have divided into 4 in one hour)

Table:

Time (Hours)
Bacteria
1
6
12
18
24
36
48
4
1.296 x 103
2.0736 x 104
1.04976 x 105
3.31776 x 105
1.679616 x 106
5.308416 x 106
  

Explanation: Every 12 hours, the bacteria population rises and increases the scientific notation exponent by 1. If you change the growth rate, for example if the bacteria hasn't divided at all after one hour, then the growth rate could be represented as 10 .


Rule: f(p) = 
h4  (The population p is equal to the number of hours h to the 4th power) 

New Rule: f(p) =  h4  + 100 (The population p is equal to the number of hours h to the 4th power)

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