Mathematics, 07.07.2021 01:00 andydiaz1227
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 310.
(a) Find an expression for the number of bacteria after
hours.
(b) Find the number of bacteria after 3 hours.
(c) Find the rate of growth after 3 hours.
(d) When will the population reach 10,000?
Answers: 2
.
(1)
- Rate of proportionality, in 
.
- Population of the bacteria culture, no unit.
- Time, in hours. 
(2)
- Initial population, no unit.
- Current population, no unit.
, 
and 
, then the rate of proportionality is:
, then the number of bacteria is:
, then the rate of growth after 3 hours:
, then the time associated with the size of the bacteria culture is:
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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After...
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