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: 9781319323394

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.

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Chapter 1.3, Problem 40E

Chapter 1.3, Problem 42E

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Chapter 1 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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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.