"The sum of -9 and -14 " translates to
2 answers:
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Answer:
(a)
(b)
(c) 28.07 minutes
Step-by-step explanation:
A cell of some bacteria divides itself into 2 cells in every 10 minutes and initial population of the bacteria was 3.
That means sequence formed will be 3, 6, 12, 24............
We can easily say that this sequence is a geometric sequence having common ratio (r) =
r = 2
Now we know the explicit formula of a geometric sequence is given by
Where a = Initial population = 3 bacteria
r = common ratio = 2
and t = time in hours
So explicit formula will be
(a) Now we have to calculate the size of population after t hours
(b) We have to find the size of population after 7 hours or 420 minutes
=
After 7 hours bacteria population will be
(c) Time to reach population as 21
By the explicit formula
Now we take log on both the sides of the equation
6t log2 = log 7
6t(0.301) = 0.845
t(1.806) = 0.845
t = hours
Or t = 0.468×60 = 28.07 minutes
Therefore, after 28.07 minutes bacterial population will be 21