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astraxan [27]
3 years ago
15

Researchers recorded that a certain bacteria population declined from 110,000 to 400 in 30 hours. At this rate of decay, how man

y bacteria will there be in 19 hours? Round to the nearest whole number.
Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

  3137

Step-by-step explanation:

The decay factor is 400/110,000 = 1/275 in 30 hours. Assuming an exponential decay, the equation for the number remaining can be ...

  n(t) = 110,000·(1/275)^(t/30)

Then after 19 hours, the number remaining is ...

  n(19) = 110,000·(1/275)^(19/30) ≈ 3137

There will be about 3137 bacteria after 19 hours.

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