calculate the time for the colony to reach 1 million bacteria.
Number of bacteria present. Doubles every minute
2
4
8
16
32
64
number = 2^t
so 2^t = 1,000,000
take log of both sides and use log rules
t log2 = log 1,000,000
t = 6/log2 = 19.9 minutes
it would take appr 20 minutes
To calculate the time for the colony to reach 1 million bacteria, we can continue the pattern of doubling the number of bacteria every minute:
2
4
8
16
32
64
128
256
512
1,024
2,048
4,096
8,192
16,384
32,768
65,536
131,072
262,144
524,288
1,048,576
Based on the pattern, it took 20 minutes for the colony to reach 1 million bacteria.
To calculate the time it takes for the colony of bacteria to reach 1 million, we can observe that the number of bacteria doubles every minute.
Let's analyze the pattern in the number of bacteria:
Starting with 2 bacteria, we can see that the number doubles with each minute:
Minute 1: 2 bacteria
Minute 2: 4 bacteria
Minute 3: 8 bacteria
Minute 4: 16 bacteria
Minute 5: 32 bacteria
Minute 6: 64 bacteria
We can continue this pattern until we reach a point where the number of bacteria surpasses 1 million.
Minute 7: 128 bacteria
Minute 8: 256 bacteria
Minute 9: 512 bacteria
Minute 10: 1,024 bacteria
Minute 11: 2,048 bacteria
Minute 12: 4,096 bacteria
Minute 13: 8,192 bacteria
Minute 14: 16,384 bacteria
Minute 15: 32,768 bacteria
Minute 16: 65,536 bacteria
Minute 17: 131,072 bacteria
Minute 18: 262,144 bacteria
Minute 19: 524,288 bacteria
Minute 20: 1,048,576 bacteria
We can see that at the end of the 20th minute, the colony reaches 1,048,576 bacteria, which is the closest value to 1 million. Therefore, it takes 20 minutes for the colony to reach approximately 1 million bacteria.