(a)
To find: The model the population of rats after t months.
(a)
Answer to Problem 12CRT
Explanation of Solution
Given: After a shipwreck, 120 rats manage to swim from the wreckage to a deserted island. The rat population on the island grows exponentially and after 15 months there are 280 rats on the island.
Initial amount of ratsare 120.
After 15 months, there are 280 rats
Let the model,
Put,
Hence, the model of populations of rats
(b)
To find: The amount of rats after 3 years.
(b)
Answer to Problem 12CRT
917
Explanation of Solution
Given: The model is
Put
Because in 1 year is 12 month.
Hence, the number of rats after 3 years would be 917.
(c)
To find: The time when population of rats reach 2000.
(c)
Answer to Problem 12CRT
4 years 2 months
Explanation of Solution
Given: The model is
Put
Hence, after 4 years 2 months
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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