crystalamador6801 crystalamador6801
  • 23-12-2021
  • Mathematics
contestada

A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours

Respuesta :

AFOKE88 AFOKE88
  • 29-12-2021

The number of bacterial population after 5 hours is; 816

  • The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

  • We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

  • Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

  • Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; https://brainly.com/question/15316908

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