Phillips Fowler
06/21/2024 · Elementary School
The number of bacteria in a culture is given by the function \( n(t)=950 e^{0.5 t} \) where \( t \) is measured in hours. (a) What is the relative rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at \( \mathrm{t}=0 \) )? Your answer is (c) How many bacteria will the culture contain at time \( \mathrm{t}=5 \) ? Your answer is
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(a) The relative rate of growth is \( 475 e^{0.5t} \).
(b) The initial population is 950 bacteria.
(c) At \( t = 5 \), the culture will contain approximately \( 950e^{\frac{5}{2}} \) bacteria.
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