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A bacteria culture starts with 2000 bacteria and the population triples after 2 hours. Find an expression for the number y(1) of bacteria after t hours. y(t) =

A bacteria culture starts with 2000 bacteria and the population triples after 2 hours. Find an expression for the number y(1) of bacteria after t hours. y(t) =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A bacteria culture starts with 2000 bacteria and the population triples after 2 hours. Find an expression for the number \( y(t) \) of bacteria after \( t \) hours. \[ y(t) = \] --- This problem involves exponential growth. It begins with a population of 2000 bacteria, and the rate of growth results in the population tripling every 2 hours. You need to find an expression that represents this growth pattern as a function of time, \( t \), in hours.
Transcribed Image Text:A bacteria culture starts with 2000 bacteria and the population triples after 2 hours. Find an expression for the number \( y(t) \) of bacteria after \( t \) hours. \[ y(t) = \] --- This problem involves exponential growth. It begins with a population of 2000 bacteria, and the rate of growth results in the population tripling every 2 hours. You need to find an expression that represents this growth pattern as a function of time, \( t \), in hours.
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