a. Explanation Given: The population of a certain species with initial population 100 and carrying capacity 1000 is P ( t ) = 100 , 000 100 + 900 e − t , where t is measured in years. The graph of is given below: b. To determine To find: the inverse of the function and explain its meaning. c. To determine To find: how long it takes for the population to reach 900 by using the inverse function.

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1, Problem 30E

To determine

To graph: the function P(t)=100,000100+900e−t and estimate how long it takes for the population to reach 900.

To determine

To find: the inverse of the function and explain its meaning.

To determine

To find: how long it takes for the population to reach 900 by using the inverse function.

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Chapter 1, Problem 29E

Chapter 1, Problem 31E

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To graph: the function P ( t ) = 100 , 000 100 + 900 e − t and estimate how long it takes for the population to reach 900.

Solution Summary: The author explains how to graph the function P(t) and estimate the time it takes for the population to reach 900. To find the inverse of this function, solve the equation for t in terms of

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To graph: the function P(t)=100,000100+900e−t and estimate how long it takes for the population to reach 900.

To find: the inverse of the function and explain its meaning.

To find: how long it takes for the population to reach 900 by using the inverse function.

Want to see the full answer?

Chapter 1 Solutions