A species of bacteria doubles every 2 hours. If the culture starts with 250 bacteria, how many bacteria will there be after 8 hours?
Options
A
4,000
B
2,000
C
3,500
D
5,000
Answer & Analysis
Answer
A
Analysis
1. Determine the number of doubling periods:
Since the bacteria doubles every 2 hours and we want to find out how many bacteria there will be after 8 hours, we divide the total number of hours (8) by the time interval for doubling (2). So the number of doubling periods is .
2. Use the exponential growth formula:
The formula for exponential growth in this case is , where:
is the final number of bacteria.
is the initial number of bacteria. Here, .
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