The initial amount of bacteria is 50.
In 12 minutes, bacteria doubles.
So, the amount of bacteria after first 12 minutes is,
[tex]50\times2=100[/tex]After the next 12 minutes, the amount of bacteria is,
[tex]100\times2=200[/tex]Again, after the next 12 minutes, the amount of bacteria is,
[tex]200\times2=400[/tex]Again, after the next 12 minutes, the amount of bacteria is,
[tex]400\times2=800[/tex]Now, the total time taken is 12+12+12+12=48 minutes.
Therefore, after 48 minutes, the amount of bacteria is 800.