number of bacteria P(t in a certain population increases according to the following function, where time t is measured in hours. =P(t)=1800e^0.16t Find the number of bacteria in the population after 3 hours and after 8 hours. Round your answers to the nearest whole number as necessary. Number after 3 hours: bacteria Number after 8 hours: bacteria

number of bacteria P(t in a certain population increases according to the following function, where time t is measured in hours. =P(t)=1800e^0.16t Find the number of bacteria in the population after 3 hours and after 8 hours. Round your answers to the nearest whole number as necessary. Number after 3 hours: bacteria Number after 8 hours: bacteria

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...

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The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=5t+1.5 , where t is the time in hours. a. Find the composite function N(T(t)) . b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.