Concept explainers
To find: the exponential decay model that approximates the number of bacteria B in the culture after t hours.
Answer to Problem 14PS
Explanation of Solution
Given:
The initial population is 500 bacteria, and the population after 2 hours is 200.
Concept Used:
Exponential decay model:
Let y denotes the number of bacteria after t hours.
From given information, number of bacteria follows law of exponential decay model, so is given by:
Also, from given information, when
Substitute this value in equation (1),
Also, from given information, when
Taking square root both sides,
Substituting this value in equation (2), the required exponential decay model is:
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning