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The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 9200. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = %3D (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) Check Answer

The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 9200. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = %3D (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) Check Answer

Calculus: Early Transcendentals
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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The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 9200. ### (a) Find a function that models the population \( t \) years after 2000 (\( t = 0 \) for 2000). **Hint**: Use an exponential function with base \( e \). Your answer is \( P(t) = \) \_\_\_\_\_\_\_\_ ### (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) \_\_\_\_\_\_\_\_ [Check Answer Button Image]
Transcribed Image Text:The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 9200. ### (a) Find a function that models the population \( t \) years after 2000 (\( t = 0 \) for 2000). **Hint**: Use an exponential function with base \( e \). Your answer is \( P(t) = \) \_\_\_\_\_\_\_\_ ### (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) \_\_\_\_\_\_\_\_ [Check Answer Button Image]
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