Question

The number of bacteria in a culture doubles every hour. If there were 50 bacteria originally in the culture, how many bacteria will be there at the end of 5th hour?​

Answer 1

Answer:

The number of bacteria in the fifth hour: 1600

Step-by-step explanation:

No. of bacteria initially: 50

Acc. to question, bacteria number doubles every hour. So in first hour, no. of bacteria is 2 × 50: 100

The number of bacteria in second hour: 2 × 100 = 200

The number of bacteria in third hour: 2 × 200 = 400

The number of bacteria in fourth hour: 2 × 400 = 800

The number of bacteria in the fifth hour: 2 × 800 = 1600

Or.

The bacteria doubles every hour, so the bacteria in the nth hour will be (50) × (2)ⁿ.

Here, n = 5.

Hence, 50 × (2)⁵ = 1600

Hope it helps.... ;-)

Answer 2

Answer:

Bacteria = 1600

Step-by-step explanation:

Initial Bacteria = 50

,----------------------------------------------------------,

| Hours | 1 2 3 4 5 |

| Bacteria | 100 200 400 800 1600 |

'----------------------------------------------------------'

Every hour the bacterial doubles

After 1 hour, Bacterial = 50 x 2 = 100

After 2 hour, Bacterial = 100 x 2 = 200

After 3 hour, Bacterial = 200 x 2 = 400

After 4 hour, Bacterial = 400 x 2 = 800

After 5 hour, Bacterial = 800 x 2 = 1600

Therefore, at the end of 5th hour, the number of bacteria will be 1600.

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