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Activity 2: Read the given scenario and use logarithm concepts to answer what is being asked. (10 pts.) In a bacteria culture, an initial population of 5,000 bacterla grows to 12,000 after 90 minutes. Assume that the growth of bacteria follows an exponential model /()- Ae" representing the number of bacteria after t minutes. (a) Find A and k, and (b) use the model to determine the number of bacteria after 3 hours. Solution: Given: f(0) = 5,000 and f00) 12,000

Activity 2: Read the given scenario and use logarithm concepts to answer what is being asked. (10 pts.) In a bacteria culture, an initial population of 5,000 bacterla grows to 12,000 after 90 minutes. Assume that the growth of bacteria follows an exponential model /()- Ae" representing the number of bacteria after t minutes. (a) Find A and k, and (b) use the model to determine the number of bacteria after 3 hours. Solution: Given: f(0) = 5,000 and f00) 12,000

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer the Activity 2, reflection essay is not included. Activity 2 only

Activity 2: Read the given scenario and use logarithm concepts to answer what is being asked. (10 pts.) In a bacteria culture, an initial population of 5,000 bacterla grows to 12,000 after 90 minutes Assume that the growth of bacteria follows an exponential model r()- Ae representing the number of bacteria after t minutes. (a) Find A and k, and (b) use the model to determine the number of bacteria after 3 hours. Solution: Given: r(0) = 5,000 and /(00)- 12,000 VI. Learning Reflection/Insights Which activity in the module do you find easy? Which activilty in the module do you find difficult? Cite a part of the module which you would like to be enriched or needs further discussion. Page 6 of 6 General Mathematics 11 ABM SLK Week 4- Logarithmic Functions
Transcribed Image Text:Activity 2: Read the given scenario and use logarithm concepts to answer what is being asked. (10 pts.) In a bacteria culture, an initial population of 5,000 bacterla grows to 12,000 after 90 minutes Assume that the growth of bacteria follows an exponential model r()- Ae representing the number of bacteria after t minutes. (a) Find A and k, and (b) use the model to determine the number of bacteria after 3 hours. Solution: Given: r(0) = 5,000 and /(00)- 12,000 VI. Learning Reflection/Insights Which activity in the module do you find easy? Which activilty in the module do you find difficult? Cite a part of the module which you would like to be enriched or needs further discussion. Page 6 of 6 General Mathematics 11 ABM SLK Week 4- Logarithmic Functions
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