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?
Answers
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:
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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