Respuesta :

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

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