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MY CALCULUS 2 STUDY GUIDE - https://jakesmathlessons.com/calculus... In this video I show you an Exponential Growth and Decay Bacteria Problem Solution. The problem is, " A bacteria culture grows with constant relative growth rate. The bacteria count was 400 after 2 hours and 25600 after 6 hours. a) what is the relative growth rate? express your answer as a percentage b) what was the initial size of the culture? c) find an expression for the number of bacteria after t hours. Lets watch the whole video to learn how to solve these three problems. The formula we use to solve these problems is y(t) = y0 e^kt 0:00 Exponential Growth & Decay Bacteria Problems 0:40 Check Out My Cheat Sheet 1:09 Exponential Growth & Decay Formula 2:24 PLEASE LIKE AND SUBSCRIBE!!! 7:02 Solve for K 7:48 Finding Initial Size Of The Culture 8:40 Finding The Expression for the number of bacteria after t hours. WATCH NEXT Other Examples and Applications of Exponential Growth and Decay - • Exponential Growth and Decay All Things Integrals (My Calculus 2 Study Guide Playlist) - • ALL THINGS INTEGRALS - My Calculus 2 Study... How to Solve Separable Differential Equations - • SOLVE THE DIFFERENTIAL EQUATION | How to s... YOU MIGHT ALSO BE INTERESTED IN... Get my calculus 2 study guide - https://jakesmathlessons.com/calculus... Work with me! - Come to Wyzant for some 1-on-1 online tutoring with me and get a $40 tutoring credit for FREE - https://is.gd/cqeuOv Problem Credit: Single Variable Calculus: Concepts and Contexts by James Stewart - Chapter 7.4 Problem #4 - https://amzn.to/3nnmrxH Some links in this video description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you. #exponential_growth #decay