7. A fish population in a small lake is estimated to be 6000. Due to a change in water quality, this population is decreasing by half each year. A. Find an exponential model f that approximates the number of fish in the lake after x years. B. Use that model to estimate the fish population after 3.5 years. Round to a whole number. C. Use that model to estimate how long until the population reaches 100 fish. Round

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
icon
Related questions
Question
Please show work and explain
7. A fish population in a small lake is estimated to
be 6000. Due to a change in water quality, this
population is decreasing by half each year.
A. Find an exponential model f that
approximates the number of fish in the
lake after x years.
B. Use that model to estimate the fish
population after 3.5 years. Round to a
whole number.
C. Use that model to estimate how long until
the population reaches 100 fish. Round
to one decimal place.
Transcribed Image Text:7. A fish population in a small lake is estimated to be 6000. Due to a change in water quality, this population is decreasing by half each year. A. Find an exponential model f that approximates the number of fish in the lake after x years. B. Use that model to estimate the fish population after 3.5 years. Round to a whole number. C. Use that model to estimate how long until the population reaches 100 fish. Round to one decimal place.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Matrix Operations
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax