The number of bacteria in a culture is given by the function n ( t ) = 935 e 0.1 t where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is % (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=10? Your answer is
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1 or 10%. This is because in the exponential function n(t) = 935e^0.1t, the rate of growth is represented by the coefficient of t in the exponent, which is 0.1. (b) The initial population of the culture (at t=0) can be found by substituting t=0 into the function. Show more…
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