Evaluating and Solving Exonential Functions Since 2001, the number of fish in Lake Beckett has been decreasing at a rate of 2.3% per year. In 2001, the population of fish was estimated to be 126 million. Use this information to answer the following: a) Write the exponential function P(t) for this scenario where P(t) is the fish population in millions t years after 2001. Exponential Function: P(t) = b) Determine the number of fish in Lake Beckett in 2008. Round your answer to two decimal places. The population of fish in Lake Beckett in 2008 will be million fish. c) Determine in what year the population of fish will be half the amount it was in 2001. Round your answer to the nearest year. The population of fish in Lake Beckett will be half of what it was in 2001 in the year

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Evaluating and Solving Exonential Functions
Since 2001, the number of fish in Lake Beckett has been decreasing at a rate of 2.3% per year. In
2001, the population of fish was estimated to be 126 million. Use this information to answer the
following:
a) Write the exponential function P(t) for this scenario where P(t) is the fish population in
millions t years after 2001.
Exponential Function: P(t) =
%3D
b) Determine the number of fish in Lake Beckett in 2008. Round your answer to two decimal
places.
The population of fish in Lake Beckett in 2008 will be
million fish.
c) Determine in what year the population of fish will be half the amount it was in 2001. Round
your answer to the nearest year.
The population of fish in Lake Beckett will be half of what it was in 2001 in the year
Transcribed Image Text:Evaluating and Solving Exonential Functions Since 2001, the number of fish in Lake Beckett has been decreasing at a rate of 2.3% per year. In 2001, the population of fish was estimated to be 126 million. Use this information to answer the following: a) Write the exponential function P(t) for this scenario where P(t) is the fish population in millions t years after 2001. Exponential Function: P(t) = %3D b) Determine the number of fish in Lake Beckett in 2008. Round your answer to two decimal places. The population of fish in Lake Beckett in 2008 will be million fish. c) Determine in what year the population of fish will be half the amount it was in 2001. Round your answer to the nearest year. The population of fish in Lake Beckett will be half of what it was in 2001 in the year
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
Differential Equation
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
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning