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Ivahew [28]
3 years ago
10

A particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri di

sh, how many bacteria will there be in 2.5 hours
Mathematics
2 answers:
Amanda [17]3 years ago
8 0
22,500 bacteria will be in 2.5 hours
SVEN [57.7K]3 years ago
4 0

Let the initial number of bacteria be x_{0}

Number of bacteria doubles in population every 10 minutes

After 10 minutes number of bacteria = 2x_{0}

number of bacteria present after t minutes,

x = x_{0}\times2^{t}

When t = 2.5 hrs = 2.5 (60) = 150 minutes

So every 10 minutes t = 150/10 = 15

Now substitute t = 15 minutes and x_{0} = 1, we get

x = 1\times2^{15}

x = 32,768 bacteria



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