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ella [17]
3 years ago
6

The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin

uous rate of growth of this bacterium population? Your answer is __ percent B) what is the initial population of the culture (at t=0) your answer is __ C) how many bacteria will the culture contain at time t=5 ? Your answer is __ Round to the nearest bacteria
Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950e^{0.45t}

a) rate of growth is

Bacteria growth model N(t) = noe^{rt}

Where r is the growth rate

hence r = 0.45

              = 45%

b) Initial population of culture at t = 0

n(0) = 950e^{0.45(0)}

       = 950e^{0}

       = 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) =  950e^{0.45(5)}

      = 950e^{2.25}

      = 9013.35

      = 9013 bacteria

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