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kdfawesome5582
26.06.2020 •
Mathematics
Researchers recorded that a certain bacteria population declined from 750,000 to 250 in 48 hours after the administration of medication. At this rate of decay, how many bacteria will there be in 8 hours?
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Ответ:
There will be 66 bacteria in 8 hours.
Step-by-step explanation:
The number of bacteria after t hours is given by the following formula.
In which P(0) is the initual number of bacteria and r is the decay rate.
Researchers recorded that a certain bacteria population declined from 750,000 to 250 in 48 hours after the administration of medication.
This means that![P(0) = 750000, P(48) = 250](/tpl/images/0694/2647/a25ef.png)
We use this to find r. So
So
How many bacteria will there be in 8 hours?
8 hours from now, in this context, is 8 + 48 = 56 hours. So this is P(56).
Rounding to the nearest number
There will be 66 bacteria in 8 hours.
Ответ: