The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the count grows exponentially ( f(t) = ce ), Find the initial size of the culture: (Round to the nearest whole number.) Find the growth rate. k = (Round to the nearest thousandth.) Find the doubling period. ta minutes. (Round to the nearest tenth.) Find the population after 95 minutes. P = (Round to the nearest whole number.) The population will reach 11000 at t = minutes. (Round to the nearest tenth.)

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 count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the count
grows exponentially (f(t) = cekt
),
%3D
Find the initial size of the culture:
(Round to the nearest whole number.)
Find the growth rate. k =
(Round to the nearest thousandth.)
Find the doubling period. ta
minutes. (Round to the nearest tenth.)
%3D
Find the population after 95 minutes. P =
(Round to the nearest whole number.)
%3D
The population will reach 11000 at t
minutes. (Round to the nearest tenth.)
%3D
Transcribed Image Text:The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the count grows exponentially (f(t) = cekt ), %3D Find the initial size of the culture: (Round to the nearest whole number.) Find the growth rate. k = (Round to the nearest thousandth.) Find the doubling period. ta minutes. (Round to the nearest tenth.) %3D Find the population after 95 minutes. P = (Round to the nearest whole number.) %3D The population will reach 11000 at t minutes. (Round to the nearest tenth.) %3D
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