The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population of bacteria to grow from 1 to 500?
18
The population doubles every 2 minutes, so after n doublings, the population (starting from 1) becomes 2^n.
We need the smallest n such that 2^n reaches approximately 500.
Calculating powers of 2: 2^7=128, 2^8=256, 2^9=512.
Since 512 is the first power of 2 that reaches approximately 500, 9 doublings are required.
As each doubling takes 2 minutes, the total time required is 9 × 2 = 18 minutes.
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