Question
At the beginning of a study, the number of bacteria in a population is 150,000 . The number of bacteria doubles every hour for a limited period of time. For this period of time, which equation models the number of bacteria y in this population after x hours?
The correct answer is:
Let the bacterial after n hours be An. It is twice the amount of as it was before 1 hour
I. e An = 2 (An - 1)
Given, A0 = 150,000
A1 = 2 (A0) = 150,000(2)
A2 = 2 (A1) = 150,000(2)2
This form as Geometric progression with a = 150,000 and r = 2
Where n + 1 term in G.P is An= arn = A0(2)n
Ax = 150,000(2)x we get y = 150,000(2)x .
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