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A culture of bacteria has an initial population of 5900 bacteria and doubles every 3 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

=P
0

⋅2
d
t


, where P_tP
t

is the population after t hours, P_0P
0

is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 10 hours, to the nearest whole number?

User Nick Hill
by
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1 Answer

2 votes

To find the population of bacteria in the culture after 10 hours, we can plug the values into the formula provided: P_t = 5900 * 2^(10/3) = 5900 * 2^(3.333...) = 5900 * 8 = 47,200

Rounded to the nearest whole number, the population of bacteria in the culture after 10 hours is 47,200.

User Expiredninja
by
8.0k points
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