Population of a particular bacterial colony; i.e. the number of cells at time t (hours) is
given by the function ( )
, where k is the growth constant.
a) If the initial cell population is 100, find .
[100]
b) When this bacterium is grown under ideal laboratory conditions, the number of
cells in a culture doubles every 30 minutes. Find the value of k to 2 decimal
places.
[1.39]
c) What is the population size after 2 hours?
[1612]
d) How long will it take for a colony of 100 cells to increase to a population of
1million cells? Give your answer to the nearest hour.
[7]
Question 6
a) For an exponentially growing quantity with a fractional growth rate r, the
doubling time is
10
double
10
log 2
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