The number of bacteria after 1.5 hours is 320,000.
Given,
The doubling period of a bacteria culture is 15 minutes.
Initially, the culture has 5000 bacteria.
We need to determine the number of bacteria there will be after 1.5 hours.
We have,
The number of bacteria gets double every 15 minutes.
Number of bacteria at initial stage = 5000
In 1.5 hours we have 90 minutes.
1.5 hours = 1 hour and 30 minutes
1 hour = 60 minutes
1.5 hours = 90 minutes.
In 90 minutes we have 6 times 15 minutes.
First 15 minutes,
The number of bacteria would be = 2 x 5000 = 10,000
Now next 15 minutes,
10,000 x 2 = 20,000
Next 15 minutes,
20,000 x 2 = 40,000
Next 15 minutes,
40,000 x 2 = 80,000
Next 15 minutes,
80,000 x 2 = 160,000
Next 15 minutes,
160,000 x 2 = 320,000
We can also write it as 5000 x 2^6 = 320,000
Thus the number of bacteria after 1.5 hours is 320,000.
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