Suppose that the number of bacteria in a colony triples

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

ISBN: 9780073383095 37

Solution for problem 19E Chapter 2.4

Discrete Mathematics and Its Applications | 7th Edition

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Problem 19E

Suppose that the number of bacteria in a colony triples every hour.

a) Set up a recurrence relation for the number of bacteria after n hours have elapsed.

b) If 100 bacteria are used to begin a new colony, how many bacteria will be in the colony in 10 hours?

Step-by-Step Solution:

Solution

Step 1:

Suppose that the number of bacteria in a colony triples every hour.

In this problem in part (a) we have to set up a recurrence relation from the given information for the number of bacteria after n hours have elapsed.

And in part (b) we have to find the number of bacteria in 10 hours if 100 bacteria are used to begin a new colony.

Step 2 of 4

Chapter 2.4, Problem 19E is Solved

Step 3 of 4

Textbook: Discrete Mathematics and Its Applications

Edition: 7

Author: Kenneth Rosen

ISBN: 9780073383095

This full solution covers the following key subjects: Bacteria, Colony, recurrence, elapsed, every. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Suppose that the number of bacteria in a colony triples every hour.a) Set up a recurrence relation for the number of bacteria after n hours have elapsed.________________b) If 100 bacteria are used to begin a new colony, how many bacteria will be in the colony in 10 hours?” is broken down into a number of easy to follow steps, and 48 words. The full step-by-step solution to problem: 19E from chapter: 2.4 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 19E from 2.4 chapter was answered, more than 362 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.