The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. (a) Find a function n(t) = n0ert that models the population after t hours. (Round your r value to five decimal places.) n(t)= (b) Find the population after 1.5 hours. (Round your answer to the nearest whole number.) (c) After how many hours will the number of bacteria reach 17,000? (Round your answer to one decimal place.)

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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The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000.

(a) Find a function n(t) = n0ert that models the population after t hours. (Round your r value to five decimal places.)

n(t)=

(b) Find the population after 1.5 hours. (Round your answer to the nearest whole number.)

(c) After how many hours will the number of bacteria reach 17,000? (Round your answer to one decimal place.)

(d) Sketch the graph of the population function.

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