Question

bacteria can multiply an alarming rate when each bacteria cell splits into two new cells, thus doubling. if we start with only one bacteria which doubles every hour, how many bacteria will we have after one day?​

Answer 1

16,777,216 bacterias.

Explanation:

There are 24 hours in one day, and the given bacteria (1) doubles every hour.

Hour 0: 1

Hour 1: 1 x 2 = 2

Hour 2: 2 x 2 = 4

Hour 3: 4 x 2 = 8

Hour 4: 8 x 2 = 16

Hour 5: 16 x 2 = 32

Hour 6: 32 x 2 = 64

Hour 7: 64 x 2 = 128

Hour 8: 128 x 2 = 256

Hour 9: 256 x 2 = 512

Hour 10: 512 x 2 = 1,024

Hour 11: 1,024 x 2 = 2,048

Hour 12: 2,048 x 2 = 4,096

Hour 13: 4,096 x 2 = 8,192

Hour 14: 8,192 x 2 = 16,384

Hour 15: 16,384 x 2 = 32,768

Hour 16: 32,768 x 2 = 65,536

Hour 17: 65,536 x 2 = 131,072

Hour 18: 131,072 x 2 = 262,144

Hour 19: 262,144 x 2 = 524,288

Hour 20: 524,288 x 2 = 1,048,576

Hour 21: 1,048,576 x 2 = 2,097,152

Hour 22: 2,097,152 x 2 = 4,194,304

Hour 23: 4,194,304 x 2 = 8,388,608

Hour 24: 8,388,608 x 2 = 16,777,216

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Another way to do it is using exponential functions. If it doubles every hour as such:
`2^(x)` , in which x is the amount of hours:
`2^(24) = 16777216`

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