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A population of bacteria is introduced into a culture. The number of bacteria P can be modeled by P ( t ) =300 [1+(9t/90+t^2)] ,

A population of bacteria is introduced into a culture. The number of bacteriaPcan be modeled by

P(t) =300 [1+(9t/90+t^2)]

,

wheretis the time in hours since the bacteria was introduced. Find the rate of change of the population (in bacteria per hour) after5hours.(Round your answer to one decimal place.)

_?____bacteria per hour

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