3. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to quadruple every 3.4 hours. a. VI „ Complete the table below. Make sure you justify your answer by showing all the steps. t(in hours) n(number of bacteria) 3.4 6.8 10.2 Use the result in part (a), find an exponential model n(t) for the number of the bacteria in the culture after t hours. Make sure you justify your answer by showing all the steps. b. c. . e: After how many hours will the bacteria count reach 100,000? Give exact answer. Make sure you justify your answer by showing all the steps.

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...
icon
Related questions
Question
100%
3. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to quadruple
every 3.4 hours.
a. VĮ „ Complete the table below. Make sure you justify your answer by showing all the steps.
t(in hours)
n(number of bacteria)
3.4
6.8
10.2
b. Use the result in part (a), find an exponential model n(t) for the number of the bacteria in
the culture after t hours. Make sure you justify your answer by showing all the steps.
c.
e: After how many hours will the bacteria count reach 100,000? Give exact answer. Make
sure you justify your answer by showing all the steps.
Transcribed Image Text:3. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to quadruple every 3.4 hours. a. VĮ „ Complete the table below. Make sure you justify your answer by showing all the steps. t(in hours) n(number of bacteria) 3.4 6.8 10.2 b. Use the result in part (a), find an exponential model n(t) for the number of the bacteria in the culture after t hours. Make sure you justify your answer by showing all the steps. c. e: After how many hours will the bacteria count reach 100,000? Give exact answer. Make sure you justify your answer by showing all the steps.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Transcendental Expression
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: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning