A marine biologist determines that the size,  p, of a population of crabs, after  t days can be modeled by the function p(t)= -0.00015t3+0.04t2+17.5t+3000. Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.) Answer: 547 days I want to know how the answer is 547 days. I dont want a vague answer that says you used an online calculator please or graphing calculator cause I do not have one. :( please and thank you!

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 25SE: For the following exercises, consider this scenario: The number of people afflicted with the common...
icon
Related questions
icon
Concept explainers
Topic Video
Question

A marine biologist determines that the size,  p, of a population of crabs, after  t days can be modeled by the function p(t)= -0.00015t3+0.04t2+17.5t+3000.

Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)

Answer: 547 days

I want to know how the answer is 547 days.

I dont want a vague answer that says you used an online calculator please or graphing calculator cause I do not have one. :(

please and thank you!

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning