Explanation Given: The function P ( t ) = 30 ⋅ 2 0.1 t models the population of a country as a function of t . A general function g ( t ) = a 2 k t Calculation: The population modeled by P ( t ) = 30 ⋅ 2 0.1 t will be doubled when population becomes 60. Thus, we can set: ⇒ P ( t ) = 30 ⋅ 2 0.1 t ⇒ 30 ⋅ 2 0.1 t = 60 ⇒ 30 ⋅ 2 0.1 t 30 = 60 30 ⇒ 2 0.1 t = 2 = 2 1 ⇒ 0.1 t = 1 ⇒ 0.1 t 0.1 = 1 0.1 ⇒ t = 1 0.1 = 10 ⇒ t = 10 Thus, it is proved that population of the country doubles every 10 years

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 1.3, Problem 41E

To determine

To prove:

The population doubles every 10 years for the first model.

The population doubles every 1k year for the second model.

Expert Solution & Answer

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Chapter 1.3, Problem 40E

Chapter 1.3, Problem 42E

Chapter 1 Solutions

CALCULUS (CLOTH)

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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Prob. 33CRE Ch. 1 - Prob. 34CRE Ch. 1 - Prob. 35CRE Ch. 1 - Prob. 36CRE Ch. 1 - Prob. 37CRE Ch. 1 - Prob. 38CRE Ch. 1 - Prob. 39CRE Ch. 1 - Prob. 40CRE Ch. 1 - Prob. 41CRE Ch. 1 - Prob. 42CRE Ch. 1 - Prob. 43CRE Ch. 1 - Prob. 44CRE Ch. 1 - Prob. 45CRE Ch. 1 - Prob. 46CRE Ch. 1 - Prob. 47CRE Ch. 1 - Prob. 48CRE Ch. 1 - Prob. 49CRE Ch. 1 - Prob. 50CRE Ch. 1 - Prob. 51CRE Ch. 1 - Prob. 52CRE Ch. 1 - Prob. 53CRE Ch. 1 - Prob. 54CRE

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To prove: The population doubles every 10 years for the first model. The population doubles every 1 k year for the second model.

Solution Summary: The author proves that the population of a country doubles every 10 years for the first model and every 1k year.

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To prove:

The population doubles every 10 years for the first model.

The population doubles every 1k year for the second model.

Want to see the full answer?

Chapter 1 Solutions

To prove: The population doubles every 10 years for the first model. The population doubles every 1 k year for the second model.

Solution Summary: The author proves that the population of a country doubles every 10 years for the first model and every 1k year.

Concept explainers

Videos

To prove: The population doubles every 10 years for the first model. The population doubles every 1k year for the second model.

Want to see the full answer?

Chapter 1 Solutions

To prove:

The population doubles every 10 years for the first model.

The population doubles every 1k year for the second model.