A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t) = 2500ekt for some constant k. (You will need to find k to answer the following.) %3D (a) Find the size of the bacterial population after 50 minutes. (b) Find the size of the bacterial population after 10 hours.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
icon
Related questions
Question
A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a
given time t is given by the formula p(t) = 2500ekt for some constant k. (You will need to find k to answer the following.)
%3D
(a) Find the size of the bacterial population after 50 minutes.
(b) Find the size of the bacterial population after 10 hours.
Transcribed Image Text:A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t) = 2500ekt for some constant k. (You will need to find k to answer the following.) %3D (a) Find the size of the bacterial population after 50 minutes. (b) Find the size of the bacterial population after 10 hours.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning