6. The rate of growth of a particular population is given by dp 50t? - 100t3/2, where P is the population size and t is the time in dt years. Then use a graphing utility to graph the function, and then use the graph to estimate how many years it will take for the population to reach 75,000. The initial population is 25,000. Find the population function.
6. The rate of growth of a particular population is given by dp 50t? - 100t3/2, where P is the population size and t is the time in dt years. Then use a graphing utility to graph the function, and then use the graph to estimate how many years it will take for the population to reach 75,000. The initial population is 25,000. Find the population function.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
Related questions
Question
![6.
The rate of growth of a particular population is given by
dp
50t2 -
100t3/2, where P is the population size and t is the time in
dt
years. The initial population is 25,000. Find the population function.
Then use a graphing utility to graph the function, and then use the
graph to estimate how many years it will take for the population to
reach 75,000.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7276851-944d-4253-a613-ac488020cc37%2F740f5812-94e1-4550-bb08-42fac961fc8e%2F4gk45lb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.
The rate of growth of a particular population is given by
dp
50t2 -
100t3/2, where P is the population size and t is the time in
dt
years. The initial population is 25,000. Find the population function.
Then use a graphing utility to graph the function, and then use the
graph to estimate how many years it will take for the population to
reach 75,000.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning