12 . In an experiment , it is given that the population of a type of bacteria doubles for every three hours . Initially there are 100 units of bacteria .
( a ) Find the amount of bacteria after one day . t
The amount of bacteria N can be modelled by the function N �a� b , where t is the number of hours after the start of the experiment , and a , b are constants .
( b ) Find the values of
( i ) a ;
[ 2 ]
( ii ) b . [ 4 ]
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