Question

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 continuous 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

Answer 1

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) = 950$e^{0.45t}$

a) rate of growth is

Bacteria growth model N(t) = no$e^{rt}$

Where r is the growth rate

hence r = 0.45

              = 45%

b) Initial population of culture at t = 0

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

       = 950$e^{0}$

       = 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) =  950$e^{0.45(5)}$

      = 950$e^{2.25}$

      = 9013.35

      = 9013 bacteria