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Answer :
Starting with 20 bacteria and a doubling time of 15 minutes, there would be 320 bacteria after one hour, option (a) is correct.
To calculate the number of bacteria on the sandwich after one hour, we need to determine the number of doubling cycles that occur in that time period.
The doubling time is given as 15 minutes, which means that every 15 minutes, the number of bacteria doubles.
Therefore, the number of doubling cycles in one hour (60 minutes) can be calculated as:
Number of doubling cycles = (60 minutes) / (15 minutes per doubling)
= 4 doubling cycles
Now, let's calculate the number of bacteria after each doubling cycle:
1st doubling cycle = 20 bacteria × 2
= 40 bacteria
2nd doubling cycle = 40 bacteria × 2
= 80 bacteria
3rd doubling cycle = 80 bacteria × 2
= 160 bacteria
4th doubling cycle = 160 bacteria × 2
= 320 bacteria
After four doubling cycles, there would be 320 bacteria on the sandwich after one hour, option (a) is correct.
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