Question

Un cultivo de bacterias se duplica cada hora. Si inicialmente, hay 1 bacteria, determina el numero de bacterias que se obtienen pasadas 3,4,6,7 y 12 hora

Answer 1

Hour 3

4 * 2 = 8

Hour 4

8 * 2 = 16

Hour 6

32 * 2 = 64

Hour 7

64 * 2 = 128

Hour 12

2048 * 2 = 4096

Explanation:

We are told that initially there is a bacterium that doubles every hour, so let's calculate what happens in the first 12 hours every hour.

Hour 0

one

Hour 1

1 * 2 = 2

Hour 2

2 * 2 = 4

Hour 3

4 * 2 = 8

Hour 4

8 * 2 = 16

Hour 5

16 * 2 = 32

Hour 6

32 * 2 = 64

Hour 7

64 * 2 = 128

Hour 8

128 * 2 = 256

Hour 9

256 * 2 = 512

Hour 10

512 * 2 = 1024

Hour 11

1024 * 2 = 2048

Hour 12

2048 * 2 = 4096

We can deduce that the growth of the bacteria is:

2 ^ n

where n is the # of time that has passed