A bacterial culture containe 32 x 10^6 cells after 2.5 hrs. Doubling time=30 min.

2.5 hours = 5 x 30 minutes = 5 generations

5th generation = 32x10^6 => 2.5hrs

4th generation = 16x10^6 => 2hrs

3rd generation = 8x10^6 => 1.5hrs

2nd generation = 4x10^6 => 1hr

1st generation = 2x10^6 => 30mins

0 generation = 1x10^6 => 0mins

Therefore, the initial population is 1,000,000 bacteria
 
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