This exercise uses the population growth A grey squirrel population was introduced in a certain county of Great Britain 35 years ago. Biologists observe that the population doubles every 7 years, and now the population is 60,000. (a) What was the initial size of the squirrel population? squirrels (b) Estimate the squirrel population 10 years from now. (Round your answer to the nearest whole number.) squirrels (c) Sketch a graph of the squirrel population. (Assume t 0 corresponds to the initial introduction.)

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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**Population Growth Model Exercise**

A grey squirrel population was introduced in a certain county of Great Britain 35 years ago. Biologists observe that the population doubles every 7 years, and now the population is 60,000.

**(a)** What was the initial size of the squirrel population?  
_______ squirrels

**(b)** Estimate the squirrel population 10 years from now. (Round your answer to the nearest whole number.)  
_______ squirrels

**(c)** Sketch a graph of the squirrel population. (Assume t = 0 corresponds to the initial introduction.)

**Graphs Explanation:**

The graphs present the function n(t) representing the squirrel population over time.

- The x-axis (t) represents time in years, with intervals marked from 0 to 50.
- The y-axis (n(t)) represents the population size, with intervals marked from 0 to 300,000 squirrels.
- The curve on each graph is an exponential growth curve, illustrating the rapid increase in population size over the years.
- As time progresses, the graph shows a steep upward curve, indicating the population's growth as it doubles approximately every 7 years.
Transcribed Image Text:**Population Growth Model Exercise** A grey squirrel population was introduced in a certain county of Great Britain 35 years ago. Biologists observe that the population doubles every 7 years, and now the population is 60,000. **(a)** What was the initial size of the squirrel population? _______ squirrels **(b)** Estimate the squirrel population 10 years from now. (Round your answer to the nearest whole number.) _______ squirrels **(c)** Sketch a graph of the squirrel population. (Assume t = 0 corresponds to the initial introduction.) **Graphs Explanation:** The graphs present the function n(t) representing the squirrel population over time. - The x-axis (t) represents time in years, with intervals marked from 0 to 50. - The y-axis (n(t)) represents the population size, with intervals marked from 0 to 300,000 squirrels. - The curve on each graph is an exponential growth curve, illustrating the rapid increase in population size over the years. - As time progresses, the graph shows a steep upward curve, indicating the population's growth as it doubles approximately every 7 years.
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