The image presents a mathematical problem related to the population of wolves on an island. The population can be modeled by the equation $ P(t) = 120e^{-0.698t} $, where $ t $ represents the number of years since 2000.### Questions:a. **What was the population in the year 2000?**b. **Describe what is happening to the population. Is it growing or shrinking?**c. **When will there be only 20 wolves on the island?**

Answered: Image /qna-images/answer/bdd70629-3e34-409d-94ad-72ab49a03301.jpg

3. The population of wolves on an island can be modeled by the equation P(t) = 120e6 where t is the number of years since 2000. -.698t a. What was the population in the year 2000? b. Describe what is happening to the population. Is it growing or shrinking? c. When will there be only 20 wolves on the island?

3. The population of wolves on an island can be modeled by the equation P(t) = 120e6 where t is the number of years since 2000. -.698t a. What was the population in the year 2000? b. Describe what is happening to the population. Is it growing or shrinking? c. When will there be only 20 wolves on the island?

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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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

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The image presents a mathematical problem related to the population of wolves on an island. The population can be modeled by the equation $ P(t) = 120e^{-0.698t} $, where $ t $ represents the number of years since 2000.

### Questions:

a. **What was the population in the year 2000?**

b. **Describe what is happening to the population. Is it growing or shrinking?**

c. **When will there be only 20 wolves on the island?**

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