The fish population in a certain lake rises and falls according to the formula F = 9000(30 + 19t − t2). Here F is the number of fish at time t, where t is measured in years since January 1, 2003, when the fish population was first estimated. (a) On what date will the fish population again be the same as it was on January 1, 2003?   (b) By what date will all the fish in the lake have died? (Select the earliest date in which this occurs.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
icon
Related questions
Question

The fish population in a certain lake rises and falls according to the formula

F = 9000(30 + 19t − t2).

Here F is the number of fish at time t, where t is measured in years since January 1, 2003, when the fish population was first estimated.

(a) On what date will the fish population again be the same as it was on January 1, 2003?
 
(b) By what date will all the fish in the lake have died? (Select the earliest date in which this occurs.)
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning