Pregunta
If the number of bacteria in a colony doubles every 475 hours and there is currently a
population of 65 bacteria, what will the population be 950 hours from now?
population of 65 bacteria, what will the population be 950 hours from now?
Ask by O'Quinn Harris. in the United States
Jan 17,2025
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After 950 hours, the bacterial population will be 260.
Solución
To determine the population of bacteria after 950 hours, given that the number of bacteria doubles every 475 hours and the initial population is 65, follow these steps:
-
Determine the Number of Doubling Periods:
- Total Time: 950 hours
- Doubling Period: 475 hours
- Number of Doubling Periods: 950 ÷ 475 = 2
-
Calculate the Population After Each Doubling Period:
- Initial Population (P₀): 65 bacteria
- After First Doubling (475 hours):
- After Second Doubling (950 hours):
Therefore, after 950 hours, the bacterial population will be 260.
Answer: 260
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Simplifique esta solución Mind Expander
In 950 hours, the bacteria will undergo two doubling periods, since 950 hours is exactly two times 475 hours. So, starting with 65 bacteria and doubling it twice, we first double it to get 130, and then double that to reach 260. Thus, the population of the bacterial colony will be 260 after 950 hours.
To visualize this, imagine the bacterial colony as a cute little club of 65 tiny microbes throwing a party. After 475 hours, they’ve doubled their guest list to 130, and a little later, they’ve doubled it again to a lively crowd of 260. It’s a tiny wild party, and who knows, they might need to find a bigger venue soon!
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