A fox population in a certain region is decreasing at a rate of 4% per year starting with an initial population of 2400 in the year 2010. Let t = the number of years since 2010 and F(t) = the fox population after t years. (a) Find a modeling formula for the fox population after t years of the form F(t) = a b F(t) = NOTE: Use parentheses as needed and use "A" to denote exponents when you type your answer in the blank. (b) Use your modeling equation above to determine an estimated for the fox population (rounded to the nearest whole number) in the fox population in 2015 - (c) Determine the calendar year during which the fox population would be predicted to reach 1500 foxes: The fox population is expected to reach this value during calendar year
A fox population in a certain region is decreasing at a rate of 4% per year starting with an initial population of 2400 in the year 2010. Let t = the number of years since 2010 and F(t) = the fox population after t years. (a) Find a modeling formula for the fox population after t years of the form F(t) = a b F(t) = NOTE: Use parentheses as needed and use "A" to denote exponents when you type your answer in the blank. (b) Use your modeling equation above to determine an estimated for the fox population (rounded to the nearest whole number) in the fox population in 2015 - (c) Determine the calendar year during which the fox population would be predicted to reach 1500 foxes: The fox population is expected to reach this value during calendar 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...
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Transcribed Image Text:A fox population in a certain region is decreasing at a rate of 4% per year starting with an initial population of 2400 in the year 2010.
Let t = the number of years since 2010 and F(t) = the fox population after t years.
(a) Find a modeling formula for the fox population after t years of the form F (t) = a · bª
F (t) =
NOTE: Use parentheses as needed and use "A" to denote exponents when you type your answer in the blank.
(b) Use your modeling equation above to determine an estimated for the fox population (rounded to the nearest whole number) in the yea
fox population in 2015 =
(c) Determine the calendar year during which the fox population would be predicted to reach 1500 foxes:
The fox population is expected to reach this value during calendar year
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