8. A certain strain of S. pneumoniae is modeled by A(t) = A,ekt where Ao is the initial number of bacteria and t is the elapsed time, measured in minutes. Previous studies have established that the doubling time of this bacterium is 22 minutes. Suppose 1200 bacteria are initially present. (a) Find the growth constant k. Round your answer to four decimal places. AH = | 200 e A (33) = 7.37918 (b) Find a function which gives the number of bacteria A(t) after t minutes. (c) How long until there are 8500 bacteria? Round your answer to the nearest minute.
8. A certain strain of S. pneumoniae is modeled by A(t) = A,ekt where Ao is the initial number of bacteria and t is the elapsed time, measured in minutes. Previous studies have established that the doubling time of this bacterium is 22 minutes. Suppose 1200 bacteria are initially present. (a) Find the growth constant k. Round your answer to four decimal places. AH = | 200 e A (33) = 7.37918 (b) Find a function which gives the number of bacteria A(t) after t minutes. (c) How long until there are 8500 bacteria? Round your answer to the nearest minute.
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...
Related questions
Question
100%
Help with part b please
Transcribed Image Text:8. A certain strain of S. pneumoniae is modeled by A(t) = A.ekt where Ao is the initial number of
bacteria and t is the elapsed time, measured in minutes, Previous studies have established that the
doubling time of this bacterium is 22 minutes. Suppose 1200 bacteria are initially present.
(a) Find the growth constant k. Round your answer to four decimal places.
AH = "
1 200 e
A (33) = 7.37918
(b) Find a function which gives the number of bacteria A(t) after t minutes.
(c) How long until there are 8500 bacteria? Round your answer to the nearest minute.
224
8500- 1200 e
12d0
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning